2588672641 has 9 divisors (see below), whose sum is σ = 2624518659. Its totient is φ = 2553311736.

The previous prime is 2588672621. The next prime is 2588672683. The reversal of 2588672641 is 1462768852.

The square root of 2588672641 is 50879.

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., 8439025 + 2580233616 = 2905^2 + 50796^2 .

It is not a de Polignac number, because 2588672641 - 2¹⁷ = 2588541569 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2588672621) 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, 4222651 + ... + 4223263.

Almost surely, 2^2588672641 is an apocalyptic number.

2588672641 is the 50879-th square number.

2588672641 is the 25440-th centered octagonal number.

It is an amenable number.

2588672641 is a deficient number, since it is larger than the sum of its proper divisors (35846018).

2588672641 is an frugal number, since it uses more digits than its factorization.

2588672641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1392 (or 696 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 49.

The cubic root of 2588672641 is about 1373.0690499803.

Multiplying 2588672641 by its sum of digits (49), we get a square (126844959409 = 356153²).

The spelling of 2588672641 in words is "two billion, five hundred eighty-eight million, six hundred seventy-two thousand, six hundred forty-one".