2577134641 has 16 divisors (see below), whose sum is σ = 2653274880. Its totient is φ = 2502339840.

The previous prime is 2577134639. The next prime is 2577134657. The reversal of 2577134641 is 1464317752.

It is a cyclic number.

It is not a de Polignac number, because 2577134641 - 2¹ = 2577134639 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2577134594 and 2577134603.

It is not an unprimeable number, because it can be changed into a prime (2577134621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1977196 + ... + 1978498.

It is an arithmetic number, because the mean of its divisors is an integer number (165829680).

Almost surely, 2^2577134641 is an apocalyptic number.

It is an amenable number.

2577134641 is a deficient number, since it is larger than the sum of its proper divisors (76140239).

2577134641 is a wasteful number, since it uses less digits than its factorization.

2577134641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1776.

The product of its digits is 141120, while the sum is 40.

The square root of 2577134641 is about 50765.4867109535. The cubic root of 2577134641 is about 1371.0260381657.

The spelling of 2577134641 in words is "two billion, five hundred seventy-seven million, one hundred thirty-four thousand, six hundred forty-one".