2642635008 has 216 divisors, whose sum is σ = 8312146752. Its totient is φ = 802566144.

The previous prime is 2642634949. The next prime is 2642635013. The reversal of 2642635008 is 8005362462.

2642635008 is a `hidden beast` number, since 2 + 642 + 6 + 3 + 5 + 0 + 0 + 8 = 666.

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

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, 2485485 + ... + 2486547.

Almost surely, 2^2642635008 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 2642635008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4156073376).

2642635008 is an abundant number, since it is smaller than the sum of its proper divisors (5669511744).

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

2642635008 is a wasteful number, since it uses less digits than its factorization.

2642635008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1181 (or 1164 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 2642635008 is about 51406.5658063248. The cubic root of 2642635008 is about 1382.5443168521.

The spelling of 2642635008 in words is "two billion, six hundred forty-two million, six hundred thirty-five thousand, eight".