2582124864 has 56 divisors (see below), whose sum is σ = 7452957408. Its totient is φ = 782461440.

The previous prime is 2582124863. The next prime is 2582124889. The reversal of 2582124864 is 4684212852.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2582124863) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 609187 + ... + 613410.

Almost surely, 2^2582124864 is an apocalyptic number.

2582124864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2582124864 is an abundant number, since it is smaller than the sum of its proper divisors (4870832544).

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

2582124864 is a wasteful number, since it uses less digits than its factorization.

2582124864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1222623 (or 1222613 counting only the distinct ones).

The product of its digits is 245760, while the sum is 42.

The square root of 2582124864 is about 50814.6127014661. The cubic root of 2582124864 is about 1371.9103942930.

The spelling of 2582124864 in words is "two billion, five hundred eighty-two million, one hundred twenty-four thousand, eight hundred sixty-four".