2402442400 has 36 divisors (see below), whose sum is σ = 5864964462. Its totient is φ = 960976640.

The previous prime is 2402442319. The next prime is 2402442401. The reversal of 2402442400 is 42442042.

It can be written as a sum of positive squares in 3 ways, for example, as 2227462416 + 174979984 = 47196^2 + 13228^2 .

It is not an unprimeable number, because it can be changed into a prime (2402442401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1500727 + ... + 1502326.

Almost surely, 2^2402442400 is an apocalyptic number.

2402442400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2402442400 is an abundant number, since it is smaller than the sum of its proper divisors (3462522062).

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

2402442400 is a wasteful number, since it uses less digits than its factorization.

2402442400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3003073 (or 3003060 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

The square root of 2402442400 is about 49014.7161574970. The cubic root of 2402442400 is about 1339.3199192517.

Adding to 2402442400 its reverse (42442042), we get a palindrome (2444884442).

The spelling of 2402442400 in words is "two billion, four hundred two million, four hundred forty-two thousand, four hundred".