2255375849520 has 320 divisors, whose sum is σ = 7450998105600. Its totient is φ = 562721955840.

The previous prime is 2255375849423. The next prime is 2255375849527. The reversal of 2255375849520 is 259485735522.

It is a happy number.

It is a hoax number, since the sum of its digits (57) 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 (57).

It is not an unprimeable number, because it can be changed into a prime (2255375849527) 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, 414359919 + ... + 414365361.

It is an arithmetic number, because the mean of its divisors is an integer number (23284369080).

Almost surely, 2^{2255375849520} is an apocalyptic number.

2255375849520 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 2255375849520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3725499052800).

2255375849520 is an abundant number, since it is smaller than the sum of its proper divisors (5195622256080).

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

2255375849520 is a wasteful number, since it uses less digits than its factorization.

2255375849520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6588 (or 6582 counting only the distinct ones).

The product of its (nonzero) digits is 30240000, while the sum is 57.

The spelling of 2255375849520 in words is "two trillion, two hundred fifty-five billion, three hundred seventy-five million, eight hundred forty-nine thousand, five hundred twenty".