2642330880 has 648 divisors, whose sum is σ = 11050550784. Its totient is φ = 580608000.

The previous prime is 2642330857. The next prime is 2642330891. The reversal of 2642330880 is 880332462.

2642330880 is a `hidden beast` number, since 2 + 642 + 3 + 3 + 0 + 8 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17498805 + ... + 17498955.

Almost surely, 2^2642330880 is an apocalyptic number.

2642330880 is a gapful number since it is divisible by the number (20) 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 2642330880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5525275392).

2642330880 is an abundant number, since it is smaller than the sum of its proper divisors (8408219904).

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

2642330880 is a wasteful number, since it uses less digits than its factorization.

2642330880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 2642330880 is about 51403.6076554944. The cubic root of 2642330880 is about 1382.4912780521.

The spelling of 2642330880 in words is "two billion, six hundred forty-two million, three hundred thirty thousand, eight hundred eighty".