2554687365120 has 1344 divisors, whose sum is σ = 10580230523520. Its totient is φ = 582368624640.

The previous prime is 2554687365073. The next prime is 2554687365149. The reversal of 2554687365120 is 215637864552.

2554687365120 is a `hidden beast` number, since 2 + 5 + 5 + 46 + 87 + 3 + 6 + 512 + 0 = 666.

It is a super-2 number, since 2×2554687365120² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 2274876879 + ... + 2274878001.

It is an arithmetic number, because the mean of its divisors is an integer number (7872195330).

Almost surely, 2^{2554687365120} is an apocalyptic number.

2554687365120 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 2554687365120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5290115261760).

2554687365120 is an abundant number, since it is smaller than the sum of its proper divisors (8025543158400).

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

2554687365120 is a wasteful number, since it uses less digits than its factorization.

2554687365120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1202 (or 1161 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 54.

The spelling of 2554687365120 in words is "two trillion, five hundred fifty-four billion, six hundred eighty-seven million, three hundred sixty-five thousand, one hundred twenty".