2400222400 has 42 divisors (see below), whose sum is σ = 5906051180. Its totient is φ = 960088320.

The previous prime is 2400222397. The next prime is 2400222413. The reversal of 2400222400 is 42220042.

It is a super-2 number, since 2×2400222400² = 11522135138923520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 748470 + ... + 751669.

Almost surely, 2^2400222400 is an apocalyptic number.

2400222400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2400222400 is an abundant number, since it is smaller than the sum of its proper divisors (3505828780).

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

2400222400 is a wasteful number, since it uses less digits than its factorization.

2400222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1500161 (or 1500146 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 2400222400 is about 48992.0646635759. The cubic root of 2400222400 is about 1338.9072549670.

Adding to 2400222400 its reverse (42220042), we get a palindrome (2442442442).

The spelling of 2400222400 in words is "two billion, four hundred million, two hundred twenty-two thousand, four hundred".