2524294972809 has 27 divisors (see below), whose sum is σ = 3873427386933. Its totient is φ = 1583820513792.

The previous prime is 2524294972789. The next prime is 2524294972867. The reversal of 2524294972809 is 9082794924252.

The square root of 2524294972809 is 1588803.

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

2524294972809 is a `hidden beast` number, since 2 + 524 + 29 + 4 + 9 + 7 + 2 + 80 + 9 = 666.

2524294972809 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 4 ways, for example, as 3440174409 + 2520854798400 = 58653^2 + 1587720^2 .

It is not a de Polignac number, because 2524294972809 - 2⁷ = 2524294972681 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2524294974809) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 81013377 + ... + 81044529.

Almost surely, 2^{2524294972809} is an apocalyptic number.

2524294972809 is the 1588803-rd square number.

2524294972809 is the 794402-nd centered octagonal number.

It is an amenable number.

2524294972809 is a deficient number, since it is larger than the sum of its proper divisors (1349132414124).

2524294972809 is an frugal number, since it uses more digits than its factorization.

2524294972809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62346 (or 31173 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 2524294972809 in words is "two trillion, five hundred twenty-four billion, two hundred ninety-four million, nine hundred seventy-two thousand, eight hundred nine".