2057590629312 has 448 divisors, whose sum is σ = 6115079992320. Its totient is φ = 607535824896.

The previous prime is 2057590629301. The next prime is 2057590629323. The reversal of 2057590629312 is 2139260957502.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2057590629301) and next prime (2057590629323).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1498608658 + ... + 1498610030.

Almost surely, 2^{2057590629312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2057590629312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3057539996160).

2057590629312 is an abundant number, since it is smaller than the sum of its proper divisors (4057489363008).

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

2057590629312 is a wasteful number, since it uses less digits than its factorization.

2057590629312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1820 (or 1810 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 51.

The spelling of 2057590629312 in words is "two trillion, fifty-seven billion, five hundred ninety million, six hundred twenty-nine thousand, three hundred twelve".