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2468321280 = 21132526783
BaseRepresentation
bin1001001100011111…
…1001100000000000
320101000120201020200
42103013321200000
520023342240110
61044532405200
7115111245645
oct22307714000
96330521220
102468321280
111057337347
1258a776800
133044ba349
14195b65dcc
15e6a6e6c0
hex931f9800

2468321280 has 144 divisors (see below), whose sum is σ = 8555077440. Its totient is φ = 658194432.

The previous prime is 2468321279. The next prime is 2468321281. The reversal of 2468321280 is 821238642.

It is an interprime number because it is at equal distance from previous prime (2468321279) and next prime (2468321281).

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2468321281) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78769 + ... + 105551.

It is an arithmetic number, because the mean of its divisors is an integer number (59410260).

Almost surely, 22468321280 is an apocalyptic number.

2468321280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2468321280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4277538720).

2468321280 is an abundant number, since it is smaller than the sum of its proper divisors (6086756160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2468321280 is a wasteful number, since it uses less digits than its factorization.

2468321280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26816 (or 26793 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 2468321280 is about 49682.2028497127. The cubic root of 2468321280 is about 1351.4518044095.

The spelling of 2468321280 in words is "two billion, four hundred sixty-eight million, three hundred twenty-one thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1024 1152 1280 1440 1536 1920 2048 2304 2560 2880 3072 3840 4608 5120 5760 6144 7680 9216 10240 11520 15360 18432 23040 26783 30720 46080 53566 80349 92160 107132 133915 160698 214264 241047 267830 321396 401745 428528 482094 535660 642792 803490 857056 964188 1071320 1205235 1285584 1606980 1714112 1928376 2142640 2410470 2571168 3213960 3428224 3856752 4285280 4820940 5142336 6427920 6856448 7713504 8570560 9641880 10284672 12855840 13712896 15427008 17141120 19283760 20569344 25711680 27425792 30854016 34282240 38567520 41138688 51423360 54851584 61708032 68564480 77135040 82277376 102846720 123416064 137128960 154270080 164554752 205693440 246832128 274257920 308540160 411386880 493664256 617080320 822773760 1234160640 2468321280