2554940942400 has 2016 divisors, whose sum is σ = 11147346524160. Its totient is φ = 500473036800.

The previous prime is 2554940942399. The next prime is 2554940942453. The reversal of 2554940942400 is 42490494552.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2554940942400.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 8322283047 + ... + 8322283353.

It is an arithmetic number, because the mean of its divisors is an integer number (5529437760).

Almost surely, 2^{2554940942400} is an apocalyptic number.

2554940942400 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 2554940942400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5573673262080).

2554940942400 is an abundant number, since it is smaller than the sum of its proper divisors (8592405581760).

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

2554940942400 is a wasteful number, since it uses less digits than its factorization.

2554940942400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 48.

The spelling of 2554940942400 in words is "two trillion, five hundred fifty-four billion, nine hundred forty million, nine hundred forty-two thousand, four hundred".