2402400120 has 32 divisors (see below), whose sum is σ = 7207200720. Its totient is φ = 640640000.

The previous prime is 2402400103. The next prime is 2402400127. The reversal of 2402400120 is 210042042.

It is a hoax number, since the sum of its digits (15) 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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2402400120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2402400127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10009881 + ... + 10010120.

Almost surely, 2^2402400120 is an apocalyptic number.

2402400120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2402400120 is an abundant number, since it is smaller than the sum of its proper divisors (4804800600).

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

2402400120 is a wasteful number, since it uses less digits than its factorization.

2402400120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20020015 (or 20020011 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 2402400120 is about 49014.2848565599. The cubic root of 2402400120 is about 1339.3120624170.

Adding to 2402400120 its reverse (210042042), we get a palindrome (2612442162).

The spelling of 2402400120 in words is "two billion, four hundred two million, four hundred thousand, one hundred twenty".