2642802552 has 320 divisors, whose sum is σ = 8381234400. Its totient is φ = 772623360.

The previous prime is 2642802499. The next prime is 2642802583. The reversal of 2642802552 is 2552082462.

2642802552 is a `hidden beast` number, since 2 + 642 + 8 + 0 + 2 + 5 + 5 + 2 = 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 19012899 + ... + 19013037.

Almost surely, 2^2642802552 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 2642802552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4190617200).

2642802552 is an abundant number, since it is smaller than the sum of its proper divisors (5738431848).

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

2642802552 is a wasteful number, since it uses less digits than its factorization.

2642802552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 2642802552 is about 51408.1953777800. The cubic root of 2642802552 is about 1382.5735341686.

The spelling of 2642802552 in words is "two billion, six hundred forty-two million, eight hundred two thousand, five hundred fifty-two".