2431261564 has 24 divisors (see below), whose sum is σ = 4422369168. Its totient is φ = 1168519680.

The previous prime is 2431261561. The next prime is 2431261589. The reversal of 2431261564 is 4651621342.

2431261564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2431261564² = 11822065585167452192, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2431261561) 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, 86677 + ... + 111244.

It is an arithmetic number, because the mean of its divisors is an integer number (184265382).

Almost surely, 2^2431261564 is an apocalyptic number.

It is an amenable number.

2431261564 is a deficient number, since it is larger than the sum of its proper divisors (1991107604).

2431261564 is a wasteful number, since it uses less digits than its factorization.

2431261564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198045 (or 198043 counting only the distinct ones).

The product of its digits is 34560, while the sum is 34.

The square root of 2431261564 is about 49307.8245717655. The cubic root of 2431261564 is about 1344.6540412842.

The spelling of 2431261564 in words is "two billion, four hundred thirty-one million, two hundred sixty-one thousand, five hundred sixty-four".