2057299680241 has 27 divisors (see below), whose sum is σ = 2351551595211. Its totient is φ = 1798786261584.

The previous prime is 2057299680239. The next prime is 2057299680251. The reversal of 2057299680241 is 1420869927502.

It is a happy number.

The square root of 2057299680241 is 1434329.

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

It can be written as a sum of positive squares in only one way, i.e., 304334272225 + 1752965408016 = 551665^2 + 1323996^2 .

It is not a de Polignac number, because 2057299680241 - 2¹ = 2057299680239 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2057299680251) 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, 354276360 + ... + 354282166.

Almost surely, 2^{2057299680241} is an apocalyptic number.

2057299680241 is the 1434329-th square number.

2057299680241 is the 717165-th centered octagonal number.

It is an amenable number.

2057299680241 is a deficient number, since it is larger than the sum of its proper divisors (294251914970).

2057299680241 is an frugal number, since it uses more digits than its factorization.

2057299680241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11678 (or 5839 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 55.

The spelling of 2057299680241 in words is "two trillion, fifty-seven billion, two hundred ninety-nine million, six hundred eighty thousand, two hundred forty-one".