2872433664 has 110 divisors (see below), whose sum is σ = 8577896184. Its totient is φ = 957450240.

The previous prime is 2872433651. The next prime is 2872433677. The reversal of 2872433664 is 4663342782.

2872433664 is a `hidden beast` number, since 287 + 2 + 4 + 3 + 366 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (2872433651) and next prime (2872433677).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 65629 + ... + 100259.

Almost surely, 2^2872433664 is an apocalyptic number.

2872433664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2872433664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4288948092).

2872433664 is an abundant number, since it is smaller than the sum of its proper divisors (5705462520).

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

2872433664 is an equidigital number, since it uses as much as digits as its factorization.

2872433664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34663 (or 34636 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 45.

The square root of 2872433664 is about 53595.0899243578. The cubic root of 2872433664 is about 1421.5102730635.

The spelling of 2872433664 in words is "two billion, eight hundred seventy-two million, four hundred thirty-three thousand, six hundred sixty-four".