2576352960 has 224 divisors, whose sum is σ = 9382963200. Its totient is φ = 664796160.

The previous prime is 2576352917. The next prime is 2576352967. The reversal of 2576352960 is 692536752.

2576352960 is a `hidden beast` number, since 2 + 5 + 7 + 63 + 529 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2576352967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 263031 + ... + 272649.

Almost surely, 2^2576352960 is an apocalyptic number.

2576352960 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 2576352960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4691481600).

2576352960 is an abundant number, since it is smaller than the sum of its proper divisors (6806610240).

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

2576352960 is a wasteful number, since it uses less digits than its factorization.

2576352960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9676 (or 9660 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The square root of 2576352960 is about 50757.7871858102. The cubic root of 2576352960 is about 1370.8874070208.

The spelling of 2576352960 in words is "two billion, five hundred seventy-six million, three hundred fifty-two thousand, nine hundred sixty".