2576032992 has 144 divisors (see below), whose sum is σ = 8073073008. Its totient is φ = 774144000.

The previous prime is 2576032969. The next prime is 2576033003. The reversal of 2576032992 is 2992306752.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 152992 + ... + 168992.

It is an arithmetic number, because the mean of its divisors is an integer number (56063007).

Almost surely, 2^2576032992 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 2576032992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4036536504).

2576032992 is an abundant number, since it is smaller than the sum of its proper divisors (5497040016).

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

2576032992 is a wasteful number, since it uses less digits than its factorization.

2576032992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16073 (or 16062 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 2576032992 is about 50754.6351774890. The cubic root of 2576032992 is about 1370.8306525998.

The spelling of 2576032992 in words is "two billion, five hundred seventy-six million, thirty-two thousand, nine hundred ninety-two".