2255507854080 has 432 divisors, whose sum is σ = 7814757224736. Its totient is φ = 554171105280.

The previous prime is 2255507854069. The next prime is 2255507854087. The reversal of 2255507854080 is 804587055522.

It is a happy number.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2255507854087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 384830350 + ... + 384836210.

It is an arithmetic number, because the mean of its divisors is an integer number (18089715798).

Almost surely, 2^{2255507854080} is an apocalyptic number.

2255507854080 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 2255507854080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3907378612368).

2255507854080 is an abundant number, since it is smaller than the sum of its proper divisors (5559249370656).

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

2255507854080 is a wasteful number, since it uses less digits than its factorization.

2255507854080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6504 (or 6477 counting only the distinct ones).

The product of its (nonzero) digits is 4480000, while the sum is 51.

The spelling of 2255507854080 in words is "two trillion, two hundred fifty-five billion, five hundred seven million, eight hundred fifty-four thousand, eighty".