2255657033952 has 288 divisors, whose sum is σ = 7440865286400. Its totient is φ = 634827663360.

The previous prime is 2255657033951. The next prime is 2255657033963. The reversal of 2255657033952 is 2593307565522.

2255657033952 is a `hidden beast` number, since 2 + 2 + 5 + 565 + 70 + 3 + 3 + 9 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2255657033951) 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, 119343799 + ... + 119362697.

It is an arithmetic number, because the mean of its divisors is an integer number (25836337800).

Almost surely, 2^{2255657033952} 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 2255657033952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3720432643200).

2255657033952 is an abundant number, since it is smaller than the sum of its proper divisors (5185208252448).

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

2255657033952 is a wasteful number, since it uses less digits than its factorization.

2255657033952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19806 (or 19795 counting only the distinct ones).

The product of its (nonzero) digits is 17010000, while the sum is 54.

The spelling of 2255657033952 in words is "two trillion, two hundred fifty-five billion, six hundred fifty-seven million, thirty-three thousand, nine hundred fifty-two".