2576344320 has 504 divisors, whose sum is σ = 10133841312. Its totient is φ = 622080000.

The previous prime is 2576344313. The next prime is 2576344391. The reversal of 2576344320 is 234436752.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 10264195 + ... + 10264445.

It is an arithmetic number, because the mean of its divisors is an integer number (20106828).

Almost surely, 2^2576344320 is an apocalyptic number.

2576344320 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 2576344320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5066920656).

2576344320 is an abundant number, since it is smaller than the sum of its proper divisors (7557496992).

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

2576344320 is an equidigital number, since it uses as much as digits as its factorization.

2576344320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The square root of 2576344320 is about 50757.7020756456. The cubic root of 2576344320 is about 1370.8858745600.

The spelling of 2576344320 in words is "two billion, five hundred seventy-six million, three hundred forty-four thousand, three hundred twenty".