2552238656220 has 192 divisors, whose sum is σ = 8284982372352. Its totient is φ = 580179456000.

The previous prime is 2552238656183. The next prime is 2552238656221. The reversal of 2552238656220 is 226568322552.

2552238656220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2552238656220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2552238656221) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2620930 + ... + 3460310.

It is an arithmetic number, because the mean of its divisors is an integer number (43150949856).

Almost surely, 2^{2552238656220} is an apocalyptic number.

2552238656220 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 2552238656220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4142491186176).

2552238656220 is an abundant number, since it is smaller than the sum of its proper divisors (5732743716132).

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

2552238656220 is a wasteful number, since it uses less digits than its factorization.

2552238656220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839692 (or 839690 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 48.

The spelling of 2552238656220 in words is "two trillion, five hundred fifty-two billion, two hundred thirty-eight million, six hundred fifty-six thousand, two hundred twenty".