2008956096 has 504 divisors, whose sum is σ = 7317760320. Its totient is φ = 523321344.

The previous prime is 2008956083. The next prime is 2008956101. The reversal of 2008956096 is 6906598002.

2008956096 is a `hidden beast` number, since 2 + 0 + 0 + 89 + 560 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×2008956096² = 8071809191311122432, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 25429785 + ... + 25429863.

Almost surely, 2^2008956096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2008956096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3658880160).

2008956096 is an abundant number, since it is smaller than the sum of its proper divisors (5308804224).

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

2008956096 is a wasteful number, since it uses less digits than its factorization.

2008956096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 2008956096 is about 44821.3798984369. The cubic root of 2008956096 is about 1261.7989119384.

The spelling of 2008956096 in words is "two billion, eight million, nine hundred fifty-six thousand, ninety-six".