2621005056 has 216 divisors, whose sum is σ = 8140119624. Its totient is φ = 808058880.

The previous prime is 2621005033. The next prime is 2621005061. The reversal of 2621005056 is 6505001262.

It can be written as a sum of positive squares in 4 ways, for example, as 41990400 + 2579014656 = 6480^2 + 50784^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2388700 + ... + 2389796.

It is an arithmetic number, because the mean of its divisors is an integer number (37685739).

Almost surely, 2^2621005056 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 2621005056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4070059812).

2621005056 is an abundant number, since it is smaller than the sum of its proper divisors (5519114568).

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

2621005056 is a wasteful number, since it uses less digits than its factorization.

2621005056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1197 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 2621005056 is about 51195.7523238012. The cubic root of 2621005056 is about 1378.7619393913.

The spelling of 2621005056 in words is "two billion, six hundred twenty-one million, five thousand, fifty-six".