2049979650625 has 15 divisors (see below), whose sum is σ = 2561699300853. Its totient is φ = 1639955085000.

The previous prime is 2049979650569. The next prime is 2049979650643. The reversal of 2049979650625 is 5260569799402.

The square root of 2049979650625 is 1431775.

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

It can be written as a sum of positive squares in 2 ways, for example, as 160718404609 + 1889261246016 = 400897^2 + 1374504^2 .

It is not a de Polignac number, because 2049979650625 - 2¹⁵ = 2049979617857 is a prime.

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 35765740 + ... + 35823010.

Almost surely, 2^{2049979650625} is an apocalyptic number.

2049979650625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2049979650625 is the 1431775-th square number.

2049979650625 is the 715888-th centered octagonal number.

It is an amenable number.

2049979650625 is a deficient number, since it is larger than the sum of its proper divisors (511719650228).

2049979650625 is an frugal number, since it uses more digits than its factorization.

2049979650625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114562 (or 57276 counting only the distinct ones).

The product of its (nonzero) digits is 73483200, while the sum is 64.

Multiplying 2049979650625 by its sum of digits (64), we get a square (131198697640000 = 11454200²).

The spelling of 2049979650625 in words is "two trillion, forty-nine billion, nine hundred seventy-nine million, six hundred fifty thousand, six hundred twenty-five".