2554116853440 has 448 divisors, whose sum is σ = 8558034923520. Its totient is φ = 644512481280.

The previous prime is 2554116853417. The next prime is 2554116853459. The reversal of 2554116853440 is 443586114552.

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 2554116853440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 338873352 + ... + 338880888.

Almost surely, 2^{2554116853440} is an apocalyptic number.

2554116853440 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 2554116853440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4279017461760).

2554116853440 is an abundant number, since it is smaller than the sum of its proper divisors (6003918070080).

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

2554116853440 is a wasteful number, since it uses less digits than its factorization.

2554116853440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7840 (or 7830 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 48.

The spelling of 2554116853440 in words is "two trillion, five hundred fifty-four billion, one hundred sixteen million, eight hundred fifty-three thousand, four hundred forty".