2577972021 has 16 divisors (see below), whose sum is σ = 3651367104. Its totient is φ = 1612272384.

The previous prime is 2577972017. The next prime is 2577972031. The reversal of 2577972021 is 1202797752.

It is not a de Polignac number, because 2577972021 - 2² = 2577972017 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2577972031) 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, 66670 + ... + 97983.

It is an arithmetic number, because the mean of its divisors is an integer number (228210444).

Almost surely, 2^2577972021 is an apocalyptic number.

It is an amenable number.

2577972021 is a deficient number, since it is larger than the sum of its proper divisors (1073395083).

2577972021 is a wasteful number, since it uses less digits than its factorization.

2577972021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164980.

The product of its (nonzero) digits is 123480, while the sum is 42.

The square root of 2577972021 is about 50773.7335735713. The cubic root of 2577972021 is about 1371.1745164332.

The spelling of 2577972021 in words is "two billion, five hundred seventy-seven million, nine hundred seventy-two thousand, twenty-one".