2935057666401 has 81 divisors (see below), whose sum is σ = 5156893630161. Its totient is φ = 1603802836944.

The previous prime is 2935057666319. The next prime is 2935057666417. The reversal of 2935057666401 is 1046667505392.

The square root of 2935057666401 is 1713201.

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

2935057666401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2935057666401 - 2¹³ = 2935057658209 is a prime.

It is a super-2 number, since 2×2935057666401² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2935057666501) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 827474310 + ... + 827477856.

Almost surely, 2^{2935057666401} is an apocalyptic number.

2935057666401 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2935057666401 is the 1713201-st square number.

2935057666401 is the 856601-st centered octagonal number.

It is an amenable number.

2935057666401 is a deficient number, since it is larger than the sum of its proper divisors (2221835963760).

2935057666401 is an frugal number, since it uses more digits than its factorization.

2935057666401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7160 (or 3580 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 2935057666401 in words is "two trillion, nine hundred thirty-five billion, fifty-seven million, six hundred sixty-six thousand, four hundred one".