2255115614400 has 504 divisors, whose sum is σ = 8756343558144. Its totient is φ = 545914828800.

The previous prime is 2255115614377. The next prime is 2255115614417. The reversal of 2255115614400 is 44165115522.

2255115614400 is a `hidden beast` number, since 2 + 2 + 5 + 51 + 1 + 561 + 4 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 115147009 + ... + 115166591.

It is an arithmetic number, because the mean of its divisors is an integer number (17373697536).

Almost surely, 2^{2255115614400} is an apocalyptic number.

2255115614400 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 2255115614400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4378171779072).

2255115614400 is an abundant number, since it is smaller than the sum of its proper divisors (6501227943744).

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

2255115614400 is a wasteful number, since it uses less digits than its factorization.

2255115614400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20349 (or 20331 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 2255115614400 in words is "two trillion, two hundred fifty-five billion, one hundred fifteen million, six hundred fourteen thousand, four hundred".