2642107664 has 80 divisors (see below), whose sum is σ = 6045684480. Its totient is φ = 1095144960.

The previous prime is 2642107639. The next prime is 2642107697. The reversal of 2642107664 is 4667012462.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 418322 + ... + 424590.

It is an arithmetic number, because the mean of its divisors is an integer number (75571056).

Almost surely, 2^2642107664 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 2642107664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3022842240).

2642107664 is an abundant number, since it is smaller than the sum of its proper divisors (3403576816).

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

2642107664 is a wasteful number, since it uses less digits than its factorization.

2642107664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6408 (or 6402 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 38.

The square root of 2642107664 is about 51401.4364001630. The cubic root of 2642107664 is about 1382.4523474163.

The spelling of 2642107664 in words is "two billion, six hundred forty-two million, one hundred seven thousand, six hundred sixty-four".