2642195584 has 128 divisors (see below), whose sum is σ = 6176793600. Its totient is φ = 1102464000.

The previous prime is 2642195561. The next prime is 2642195603. The reversal of 2642195584 is 4855912462.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7982299 + ... + 7982629.

It is an arithmetic number, because the mean of its divisors is an integer number (48256200).

Almost surely, 2^2642195584 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 2642195584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3088396800).

2642195584 is an abundant number, since it is smaller than the sum of its proper divisors (3534598016).

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

2642195584 is a wasteful number, since it uses less digits than its factorization.

2642195584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 550 counting only the distinct ones).

The product of its digits is 691200, while the sum is 46.

The square root of 2642195584 is about 51402.2916220668. The cubic root of 2642195584 is about 1382.4676816214.

The spelling of 2642195584 in words is "two billion, six hundred forty-two million, one hundred ninety-five thousand, five hundred eighty-four".