2557417408000 has 480 divisors, whose sum is σ = 7988996983968. Its totient is φ = 809367552000.

The previous prime is 2557417407953. The next prime is 2557417408019. The reversal of 2557417408000 is 8047147552.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40736635 + ... + 40799365.

Almost surely, 2^{2557417408000} is an apocalyptic number.

2557417408000 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 2557417408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3994498491984).

2557417408000 is an abundant number, since it is smaller than the sum of its proper divisors (5431579575968).

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

2557417408000 is an equidigital number, since it uses as much as digits as its factorization.

2557417408000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62791 (or 62758 counting only the distinct ones).

The product of its (nonzero) digits is 313600, while the sum is 43.

The spelling of 2557417408000 in words is "two trillion, five hundred fifty-seven billion, four hundred seventeen million, four hundred eight thousand".