2057215091904 has 504 divisors, whose sum is σ = 7014596779008. Its totient is φ = 586370741760.

The previous prime is 2057215091881. The next prime is 2057215091909. The reversal of 2057215091904 is 4091905127502.

2057215091904 is a `hidden beast` number, since 2 + 0 + 57 + 2 + 1 + 509 + 1 + 90 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a self number, because there is not a number n which added to its sum of digits gives 2057215091904.

It is not an unprimeable number, because it can be changed into a prime (2057215091909) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2383794577 + ... + 2383795439.

It is an arithmetic number, because the mean of its divisors is an integer number (13917850752).

Almost surely, 2^{2057215091904} is an apocalyptic number.

2057215091904 is a gapful number since it is divisible by the number (24) 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 2057215091904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3507298389504).

2057215091904 is an abundant number, since it is smaller than the sum of its proper divisors (4957381687104).

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

2057215091904 is an frugal number, since it uses more digits than its factorization.

2057215091904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1717 (or 1686 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 2057215091904 in words is "two trillion, fifty-seven billion, two hundred fifteen million, ninety-one thousand, nine hundred four".