2642132564 has 12 divisors (see below), whose sum is σ = 4682260800. Its totient is φ = 1304343768.

The previous prime is 2642132561. The next prime is 2642132579. The reversal of 2642132564 is 4652312462.

It is a super-3 number, since 3×2642132564³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2642132561) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4180274 + ... + 4180905.

It is an arithmetic number, because the mean of its divisors is an integer number (390188400).

Almost surely, 2^2642132564 is an apocalyptic number.

It is an amenable number.

2642132564 is a deficient number, since it is larger than the sum of its proper divisors (2040128236).

2642132564 is a wasteful number, since it uses less digits than its factorization.

2642132564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8361262 (or 8361260 counting only the distinct ones).

The product of its digits is 69120, while the sum is 35.

The square root of 2642132564 is about 51401.6786107224. The cubic root of 2642132564 is about 1382.4566902819.

It can be divided in two parts, 26421 and 32564, that added together give a palindrome (58985).

The spelling of 2642132564 in words is "two billion, six hundred forty-two million, one hundred thirty-two thousand, five hundred sixty-four".