2576996752 has 80 divisors (see below), whose sum is σ = 5747400000. Its totient is φ = 1107025920.

The previous prime is 2576996729. The next prime is 2576996783.

2576996752 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2062624 + ... + 2063872.

It is an arithmetic number, because the mean of its divisors is an integer number (71842500).

Almost surely, 2^2576996752 is an apocalyptic number.

2576996752 is a gapful number since it is divisible by the number (22) 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 2576996752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2873700000).

2576996752 is an abundant number, since it is smaller than the sum of its proper divisors (3170403248).

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

2576996752 is a wasteful number, since it uses less digits than its factorization.

2576996752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1904 (or 1898 counting only the distinct ones).

The product of its digits is 14288400, while the sum is 58.

The square root of 2576996752 is about 50764.1285949045. The cubic root of 2576996752 is about 1371.0015855846.

The spelling of 2576996752 in words is "two billion, five hundred seventy-six million, nine hundred ninety-six thousand, seven hundred fifty-two".