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2641381380 = 2233511444677
BaseRepresentation
bin1001110101110000…
…0100100000000100
320211002020002002000
42131130010200010
520402143201010
61114033545300
7122312241231
oct23534044004
96732202060
102641381380
111135a99a20
12618715230
13331301481
141b0b34788
15106d567c0
hex9d704804

2641381380 has 96 divisors (see below), whose sum is σ = 8964708480. Its totient is φ = 640333440.

The previous prime is 2641381367. The next prime is 2641381397. The reversal of 2641381380 is 831831462.

2641381380 is a `hidden beast` number, since 2 + 641 + 3 + 8 + 1 + 3 + 8 + 0 = 666.

It is a super-2 number, since 2×26413813802 = 13953791189221408800, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 216399 + ... + 228278.

It is an arithmetic number, because the mean of its divisors is an integer number (93382380).

Almost surely, 22641381380 is an apocalyptic number.

2641381380 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2641381380 is an abundant number, since it is smaller than the sum of its proper divisors (6323327100).

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

2641381380 is a wasteful number, since it uses less digits than its factorization.

2641381380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444706 (or 444698 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2641381380 is about 51394.3710925623. The cubic root of 2641381380 is about 1382.3256625668.

The spelling of 2641381380 in words is "two billion, six hundred forty-one million, three hundred eighty-one thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 132 135 165 180 198 220 270 297 330 396 495 540 594 660 990 1188 1485 1980 2970 5940 444677 889354 1334031 1778708 2223385 2668062 4002093 4446770 4891447 5336124 6670155 8004186 8893540 9782894 12006279 13340310 14674341 16008372 19565788 20010465 24012558 24457235 26680620 29348682 40020930 44023023 48025116 48914470 58697364 60031395 73371705 80041860 88046046 97828940 120062790 132069069 146743410 176092092 220115115 240125580 264138138 293486820 440230230 528276276 660345345 880460460 1320690690 2641381380