2124749025 has 81 divisors (see below), whose sum is σ = 4437101331. Its totient is φ = 969101280.

The previous prime is 2124748999. The next prime is 2124749059. The reversal of 2124749025 is 5209474212.

The square root of 2124749025 is 46095.

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., 764909649 + 1359839376 = 27657^2 + 36876^2 .

It is not a de Polignac number, because 2124749025 - 2⁹ = 2124748513 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 4839756 + ... + 4840194.

Almost surely, 2^2124749025 is an apocalyptic number.

2124749025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2124749025 is the 46095-th square number.

2124749025 is the 23048-th centered octagonal number.

It is an amenable number.

2124749025 is an abundant number, since it is smaller than the sum of its proper divisors (2312352306).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2124749025 is an equidigital number, since it uses as much as digits as its factorization.

2124749025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 908 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The cubic root of 2124749025 is about 1285.5901794229.

Multiplying 2124749025 by its sum of digits (36), we get a square (76490964900 = 276570²).

The spelling of 2124749025 in words is "two billion, one hundred twenty-four million, seven hundred forty-nine thousand, twenty-five".