2057490960642 has 96 divisors (see below), whose sum is σ = 4821577016256. Its totient is φ = 630337680000.

The previous prime is 2057490960641. The next prime is 2057490960643. The reversal of 2057490960642 is 2460690947502.

2057490960642 is a `hidden beast` number, since 2 + 0 + 5 + 7 + 490 + 96 + 0 + 64 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (2057490960641) and next prime (2057490960643).

It is not an unprimeable number, because it can be changed into a prime (2057490960641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 312637792 + ... + 312644372.

It is an arithmetic number, because the mean of its divisors is an integer number (50224760586).

Almost surely, 2^{2057490960642} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2057490960642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2410788508128).

2057490960642 is an abundant number, since it is smaller than the sum of its proper divisors (2764086055614).

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

2057490960642 is a wasteful number, since it uses less digits than its factorization.

2057490960642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12176 (or 12173 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 2057490960642 in words is "two trillion, fifty-seven billion, four hundred ninety million, nine hundred sixty thousand, six hundred forty-two".