2638979641 has 9 divisors (see below), whose sum is σ = 2698791951. Its totient is φ = 2580468072.

The previous prime is 2638979633. The next prime is 2638979689. The reversal of 2638979641 is 1469798362.

The square root of 2638979641 is 51371.

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

2638979641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2600490025 + 38489616 = 50995^2 + 6204^2 .

It is not a de Polignac number, because 2638979641 - 2³ = 2638979633 is a prime.

It is a super-2 number, since 2×2638979641² = 13928427091224977762, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2638929641) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2413891 + ... + 2414983.

Almost surely, 2^2638979641 is an apocalyptic number.

2638979641 is the 51371-st square number.

2638979641 is the 25686-th centered octagonal number.

It is an amenable number.

2638979641 is a deficient number, since it is larger than the sum of its proper divisors (59812310).

2638979641 is an frugal number, since it uses more digits than its factorization.

2638979641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2280 (or 1140 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 55.

The cubic root of 2638979641 is about 1381.9065646601.

It can be divided in two parts, 26389 and 79641, that added together give a triangular number (106030 = T₄₆₀).

The spelling of 2638979641 in words is "two billion, six hundred thirty-eight million, nine hundred seventy-nine thousand, six hundred forty-one".