2554172638560 has 576 divisors, whose sum is σ = 9242483927040. Its totient is φ = 641418117120.

The previous prime is 2554172638519. The next prime is 2554172638603. The reversal of 2554172638560 is 658362714552.

2554172638560 is a `hidden beast` number, since 2 + 5 + 5 + 4 + 1 + 72 + 6 + 3 + 8 + 560 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2554172638497 and 2554172638506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 248237896 + ... + 248248184.

It is an arithmetic number, because the mean of its divisors is an integer number (16045979040).

Almost surely, 2^{2554172638560} is an apocalyptic number.

2554172638560 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 2554172638560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4621241963520).

2554172638560 is an abundant number, since it is smaller than the sum of its proper divisors (6688311288480).

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

2554172638560 is a wasteful number, since it uses less digits than its factorization.

2554172638560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10491 (or 10480 counting only the distinct ones).

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

The spelling of 2554172638560 in words is "two trillion, five hundred fifty-four billion, one hundred seventy-two million, six hundred thirty-eight thousand, five hundred sixty".