2554238800800 has 216 divisors, whose sum is σ = 9198521631936. Its totient is φ = 666638123520.

The previous prime is 2554238800721. The next prime is 2554238800823. The reversal of 2554238800800 is 80088324552.

2554238800800 is a `hidden beast` number, since 25 + 542 + 3 + 8 + 8 + 0 + 0 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3435594 + ... + 4112393.

It is an arithmetic number, because the mean of its divisors is an integer number (42585748296).

Almost surely, 2^{2554238800800} is an apocalyptic number.

2554238800800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2554238800800 is an abundant number, since it is smaller than the sum of its proper divisors (6644282831136).

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

2554238800800 is a wasteful number, since it uses less digits than its factorization.

2554238800800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7548060 (or 7548044 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 2554238800800 in words is "two trillion, five hundred fifty-four billion, two hundred thirty-eight million, eight hundred thousand, eight hundred".