2057617420800 has 240 divisors, whose sum is σ = 6837933719232. Its totient is φ = 545410662400.

The previous prime is 2057617420693. The next prime is 2057617420829. The reversal of 2057617420800 is 80247167502.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6252370 + ... + 6573230.

Almost surely, 2^{2057617420800} is an apocalyptic number.

2057617420800 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 2057617420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3418966859616).

2057617420800 is an abundant number, since it is smaller than the sum of its proper divisors (4780316298432).

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

2057617420800 is a wasteful number, since it uses less digits than its factorization.

2057617420800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321059 (or 321038 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The spelling of 2057617420800 in words is "two trillion, fifty-seven billion, six hundred seventeen million, four hundred twenty thousand, eight hundred".