2510216964 has 72 divisors (see below), whose sum is σ = 6782735232. Its totient is φ = 780827520.

The previous prime is 2510216959. The next prime is 2510216981. The reversal of 2510216964 is 4696120152.

2510216964 is a `hidden beast` number, since 2 + 510 + 21 + 69 + 64 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3024 + ... + 70919.

It is an arithmetic number, because the mean of its divisors is an integer number (94204656).

Almost surely, 2^2510216964 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 2510216964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3391367616).

2510216964 is an abundant number, since it is smaller than the sum of its proper divisors (4272518268).

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

2510216964 is a wasteful number, since it uses less digits than its factorization.

2510216964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74017 (or 74012 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 2510216964 is about 50102.0654664057. The cubic root of 2510216964 is about 1359.0551691547.

The spelling of 2510216964 in words is "two billion, five hundred ten million, two hundred sixteen thousand, nine hundred sixty-four".