2642862432 has 144 divisors (see below), whose sum is σ = 8545143600. Its totient is φ = 710664192.

The previous prime is 2642862413. The next prime is 2642862451. The reversal of 2642862432 is 2342682462.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2642862413) and next prime (2642862451).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63444 + ... + 96492.

It is an arithmetic number, because the mean of its divisors is an integer number (59341275).

Almost surely, 2^2642862432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2642862432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4272571800).

2642862432 is an abundant number, since it is smaller than the sum of its proper divisors (5902281168).

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

2642862432 is a wasteful number, since it uses less digits than its factorization.

2642862432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33093 (or 33078 counting only the distinct ones).

The product of its digits is 221184, while the sum is 39.

The square root of 2642862432 is about 51408.7777718942. Note that the first 5 decimals coincide. The cubic root of 2642862432 is about 1382.5839760986.

The spelling of 2642862432 in words is "two billion, six hundred forty-two million, eight hundred sixty-two thousand, four hundred thirty-two".