2642650056 has 192 divisors, whose sum is σ = 7864560000. Its totient is φ = 821197440.

The previous prime is 2642650019. The next prime is 2642650057. The reversal of 2642650056 is 6500562462.

2642650056 is a `hidden beast` number, since 2 + 642 + 6 + 5 + 0 + 0 + 5 + 6 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2642650056.

It is not an unprimeable number, because it can be changed into a prime (2642650057) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6019485 + ... + 6019923.

It is an arithmetic number, because the mean of its divisors is an integer number (40961250).

Almost surely, 2^2642650056 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 2642650056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3932280000).

2642650056 is an abundant number, since it is smaller than the sum of its proper divisors (5221909944).

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

2642650056 is a wasteful number, since it uses less digits than its factorization.

2642650056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 2642650056 is about 51406.7121687431. The cubic root of 2642650056 is about 1382.5469410621.

The spelling of 2642650056 in words is "two billion, six hundred forty-two million, six hundred fifty thousand, fifty-six".