2564511488 has 72 divisors (see below), whose sum is σ = 6382185600. Its totient is φ = 999152640.

The previous prime is 2564511473. The next prime is 2564511517. The reversal of 2564511488 is 8841154652.

It is a Harshad number since it is a multiple of its sum of digits (44).

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, 45338 + ... + 84761.

Almost surely, 2^2564511488 is an apocalyptic number.

2564511488 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2564511488 is an abundant number, since it is smaller than the sum of its proper divisors (3817674112).

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

2564511488 is a wasteful number, since it uses less digits than its factorization.

2564511488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130133 (or 130119 counting only the distinct ones).

The product of its digits is 307200, while the sum is 44.

The square root of 2564511488 is about 50641.0059931672. The cubic root of 2564511488 is about 1368.7838832393.

The spelling of 2564511488 in words is "two billion, five hundred sixty-four million, five hundred eleven thousand, four hundred eighty-eight".