2554116969600 has 768 divisors, whose sum is σ = 10842310809600. Its totient is φ = 575075635200.

The previous prime is 2554116969541. The next prime is 2554116969647. The reversal of 2554116969600 is 69696114552.

2554116969600 is a `hidden beast` number, since 2 + 5 + 541 + 1 + 6 + 9 + 6 + 96 + 0 + 0 = 666.

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

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, 40490085 + ... + 40553115.

It is an arithmetic number, because the mean of its divisors is an integer number (14117592200).

Almost surely, 2^{2554116969600} is an apocalyptic number.

2554116969600 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 2554116969600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5421155404800).

2554116969600 is an abundant number, since it is smaller than the sum of its proper divisors (8288193840000).

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

2554116969600 is a wasteful number, since it uses less digits than its factorization.

2554116969600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63138 (or 63115 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 2554116969600 in words is "two trillion, five hundred fifty-four billion, one hundred sixteen million, nine hundred sixty-nine thousand, six hundred".