2504902401 has 45 divisors (see below), whose sum is σ = 3844891281. Its totient is φ = 1625191128.

The previous prime is 2504902399. The next prime is 2504902403. The reversal of 2504902401 is 1042094052.

The square root of 2504902401 is 50049.

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

2504902401 is a `hidden beast` number, since 250 + 4 + 9 + 0 + 2 + 401 = 666.

It is an interprime number because it is at equal distance from previous prime (2504902399) and next prime (2504902403).

It is not a de Polignac number, because 2504902401 - 2¹ = 2504902399 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2504902403) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 30179506 + ... + 30179588.

Almost surely, 2^2504902401 is an apocalyptic number.

2504902401 is the 50049-th square number.

2504902401 is the 25025-th centered octagonal number.

It is an amenable number.

2504902401 is a deficient number, since it is larger than the sum of its proper divisors (1339988880).

2504902401 is an frugal number, since it uses more digits than its factorization.

2504902401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The cubic root of 2504902401 is about 1358.0953732860.

Adding to 2504902401 its reverse (1042094052), we get a palindrome (3546996453).

The spelling of 2504902401 in words is "two billion, five hundred four million, nine hundred two thousand, four hundred one".