2057014960000 has 1280 divisors, whose sum is σ = 7284752133120. Its totient is φ = 556646400000.

The previous prime is 2057014959977. The next prime is 2057014960019. The reversal of 2057014960000 is 694107502.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1361359245 + ... + 1361360755.

It is an arithmetic number, because the mean of its divisors is an integer number (5691212604).

Almost surely, 2^{2057014960000} is an apocalyptic number.

2057014960000 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 2057014960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3642376066560).

2057014960000 is an abundant number, since it is smaller than the sum of its proper divisors (5227737173120).

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

2057014960000 is a wasteful number, since it uses less digits than its factorization.

2057014960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1593 (or 1566 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The spelling of 2057014960000 in words is "two trillion, fifty-seven billion, fourteen million, nine hundred sixty thousand".