2057672622681 has 27 divisors (see below), whose sum is σ = 3218498529597. Its totient is φ = 1266225648480.

The previous prime is 2057672622659. The next prime is 2057672622703. The reversal of 2057672622681 is 1862262767502.

The square root of 2057672622681 is 1434459.

It is a perfect power (a square), and thus also a powerful number.

2057672622681 is a `hidden beast` number, since 2 + 0 + 5 + 7 + 6 + 7 + 2 + 622 + 6 + 8 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (2057672622659) and next prime (2057672622703).

It can be written as a sum of positive squares in 4 ways, for example, as 1625739752025 + 431932870656 = 1275045^2 + 657216^2 .

It is not a de Polignac number, because 2057672622681 - 2¹⁵ = 2057672589913 is a prime.

It is a super-2 number, since 2×2057672622681² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2057672642681) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 55925511 + ... + 55962291.

Almost surely, 2^{2057672622681} is an apocalyptic number.

2057672622681 is the 1434459-th square number.

2057672622681 is the 717230-th centered octagonal number.

It is an amenable number.

2057672622681 is a deficient number, since it is larger than the sum of its proper divisors (1160825906916).

2057672622681 is an frugal number, since it uses more digits than its factorization.

2057672622681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73594 (or 36797 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 2057672622681 in words is "two trillion, fifty-seven billion, six hundred seventy-two million, six hundred twenty-two thousand, six hundred eighty-one".