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2488601440 = 255131770379
BaseRepresentation
bin1001010001010101…
…0000101101100000
320102102202001101201
42110111100231200
520044040221230
61050535210544
7115445522533
oct22425205540
96372661351
102488601440
111067829106
12595516a54
1330876b140
14198724a1a
15e87285ca
hex94550b60

2488601440 has 96 divisors (see below), whose sum is σ = 6704117280. Its totient is φ = 864804864.

The previous prime is 2488601429. The next prime is 2488601441. The reversal of 2488601440 is 441068842.

It is a self number, because there is not a number n which added to its sum of digits gives 2488601440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2488601441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 171 + ... + 70549.

It is an arithmetic number, because the mean of its divisors is an integer number (69834555).

Almost surely, 22488601440 is an apocalyptic number.

2488601440 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 2488601440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3352058640).

2488601440 is an abundant number, since it is smaller than the sum of its proper divisors (4215515840).

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

2488601440 is a wasteful number, since it uses less digits than its factorization.

2488601440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70424 (or 70416 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 37.

The square root of 2488601440 is about 49885.8841757866. The cubic root of 2488601440 is about 1355.1429686249.

The spelling of 2488601440 in words is "two billion, four hundred eighty-eight million, six hundred one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 17 20 26 32 34 40 52 65 68 80 85 104 130 136 160 170 208 221 260 272 340 416 442 520 544 680 884 1040 1105 1360 1768 2080 2210 2720 3536 4420 7072 8840 17680 35360 70379 140758 281516 351895 563032 703790 914927 1126064 1196443 1407580 1829854 2252128 2392886 2815160 3659708 4574635 4785772 5630320 5982215 7319416 9149270 9571544 11260640 11964430 14638832 15553759 18298540 19143088 23928860 29277664 31107518 36597080 38286176 47857720 62215036 73194160 77768795 95715440 124430072 146388320 155537590 191430880 248860144 311075180 497720288 622150360 1244300720 2488601440