2400402125 has 64 divisors (see below), whose sum is σ = 3497375232. Its totient is φ = 1625472000.

The previous prime is 2400402101. The next prime is 2400402131. The reversal of 2400402125 is 5212040042.

It is a happy number.

It is not a de Polignac number, because 2400402125 - 2³⁰ = 1326660301 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2400402097 and 2400402106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2407127 + ... + 2408123.

It is an arithmetic number, because the mean of its divisors is an integer number (54646488).

Almost surely, 2^2400402125 is an apocalyptic number.

2400402125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2400402125 is a deficient number, since it is larger than the sum of its proper divisors (1096973107).

2400402125 is a wasteful number, since it uses less digits than its factorization.

2400402125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1143 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 2400402125 is about 48993.8988548574. The cubic root of 2400402125 is about 1338.9406725787.

Adding to 2400402125 its reverse (5212040042), we get a palindrome (7612442167).

The spelling of 2400402125 in words is "two billion, four hundred million, four hundred two thousand, one hundred twenty-five".