2642455872 has 504 divisors, whose sum is σ = 9598517760. Its totient is φ = 705438720.

The previous prime is 2642455867. The next prime is 2642455883. The reversal of 2642455872 is 2785542462.

2642455872 is a `hidden beast` number, since 2 + 6 + 4 + 24 + 558 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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, 85240497 + ... + 85240527.

Almost surely, 2^2642455872 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 2642455872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4799258880).

2642455872 is an abundant number, since it is smaller than the sum of its proper divisors (6956061888).

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

2642455872 is an frugal number, since it uses more digits than its factorization.

2642455872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 72 counting only the distinct ones).

The product of its digits is 1075200, while the sum is 45.

The square root of 2642455872 is about 51404.8234312696. The cubic root of 2642455872 is about 1382.5130766879.

The spelling of 2642455872 in words is "two billion, six hundred forty-two million, four hundred fifty-five thousand, eight hundred seventy-two".