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2656334340 = 223251137101359
BaseRepresentation
bin1001111001010100…
…0111001000000100
320212010100202200100
42132111013020010
520420010144330
61115330244100
7122553316662
oct23625071004
96763322610
102656334340
111143482340
12621726630
1333443858a
141b2b07c32
1510830c060
hex9e547204

2656334340 has 288 divisors, whose sum is σ = 9142398720. Its totient is φ = 618624000.

The previous prime is 2656334309. The next prime is 2656334353. The reversal of 2656334340 is 434336562.

2656334340 is a `hidden beast` number, since 26 + 563 + 34 + 3 + 40 = 666.

It is a super-2 number, since 2×26563343402 = 14112224251726471200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2656334295 and 2656334304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7399081 + ... + 7399439.

It is an arithmetic number, because the mean of its divisors is an integer number (31744440).

Almost surely, 22656334340 is an apocalyptic number.

2656334340 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 2656334340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4571199360).

2656334340 is an abundant number, since it is smaller than the sum of its proper divisors (6486064380).

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

2656334340 is a wasteful number, since it uses less digits than its factorization.

2656334340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

The square root of 2656334340 is about 51539.6385319106. The cubic root of 2656334340 is about 1384.9292217520.

The spelling of 2656334340 in words is "two billion, six hundred fifty-six million, three hundred thirty-four thousand, three hundred forty".