2582460768 has 48 divisors (see below), whose sum is σ = 6944310576. Its totient is φ = 839823360.

The previous prime is 2582460707. The next prime is 2582460773. The reversal of 2582460768 is 8670642852.

2582460768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 324121 + ... + 331992.

It is an arithmetic number, because the mean of its divisors is an integer number (144673137).

Almost surely, 2^2582460768 is an apocalyptic number.

It is an amenable number.

2582460768 is an abundant number, since it is smaller than the sum of its proper divisors (4361849808).

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

2582460768 is a wasteful number, since it uses less digits than its factorization.

2582460768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656167 (or 656159 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 48.

The square root of 2582460768 is about 50817.9177849703. The cubic root of 2582460768 is about 1371.9698815024.

The spelling of 2582460768 in words is "two billion, five hundred eighty-two million, four hundred sixty thousand, seven hundred sixty-eight".