2432664864 has 72 divisors (see below), whose sum is σ = 7906167360. Its totient is φ = 695046528.

The previous prime is 2432664859. The next prime is 2432664881. The reversal of 2432664864 is 4684662342.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 601324 + ... + 605355.

It is an arithmetic number, because the mean of its divisors is an integer number (109807880).

Almost surely, 2^2432664864 is an apocalyptic number.

2432664864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2432664864 is an abundant number, since it is smaller than the sum of its proper divisors (5473502496).

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

2432664864 is a wasteful number, since it uses less digits than its factorization.

2432664864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1206702 (or 1206691 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 45.

The square root of 2432664864 is about 49322.0525120356. The cubic root of 2432664864 is about 1344.9126985066.

The spelling of 2432664864 in words is "two billion, four hundred thirty-two million, six hundred sixty-four thousand, eight hundred sixty-four".