2552611121620 has 96 divisors (see below), whose sum is σ = 6270272870400. Its totient is φ = 854618615424.

The previous prime is 2552611121603. The next prime is 2552611121633. The reversal of 2552611121620 is 261211162552.

2552611121620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2552611121620² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25589401 + ... + 25688959.

It is an arithmetic number, because the mean of its divisors is an integer number (65315342400).

Almost surely, 2^{2552611121620} is an apocalyptic number.

2552611121620 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2552611121620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3135136435200).

2552611121620 is an abundant number, since it is smaller than the sum of its proper divisors (3717661748780).

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

2552611121620 is a wasteful number, since it uses less digits than its factorization.

2552611121620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103877 (or 103875 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 34.

The spelling of 2552611121620 in words is "two trillion, five hundred fifty-two billion, six hundred eleven million, one hundred twenty-one thousand, six hundred twenty".