2521768704 has 144 divisors (see below), whose sum is σ = 8260637952. Its totient is φ = 665063424.

The previous prime is 2521768703. The next prime is 2521768723. The reversal of 2521768704 is 4078671252.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2521768703) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51847 + ... + 87929.

Almost surely, 2^2521768704 is an apocalyptic number.

2521768704 is a gapful number since it is divisible by the number (24) 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 2521768704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4130318976).

2521768704 is an abundant number, since it is smaller than the sum of its proper divisors (5738869248).

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

2521768704 is a wasteful number, since it uses less digits than its factorization.

2521768704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36122 (or 36108 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The square root of 2521768704 is about 50217.2152155015. The cubic root of 2521768704 is about 1361.1367197652.

The spelling of 2521768704 in words is "two billion, five hundred twenty-one million, seven hundred sixty-eight thousand, seven hundred four".