2400120024 has 16 divisors (see below), whose sum is σ = 6000300120. Its totient is φ = 800040000.

The previous prime is 2400120013. The next prime is 2400120043. The reversal of 2400120024 is 4200210042.

It is a super-2 number, since 2×2400120024² = 11521152259211521152, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2400119985 and 2400120012.

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 3 ways as a sum of consecutive naturals, for example, 50002477 + ... + 50002524.

Almost surely, 2^2400120024 is an apocalyptic number.

2400120024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2400120024 is an abundant number, since it is smaller than the sum of its proper divisors (3600180096).

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

2400120024 is a wasteful number, since it uses less digits than its factorization.

2400120024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100005010 (or 100005006 counting only the distinct ones).

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

The square root of 2400120024 is about 48991.0198301689. The cubic root of 2400120024 is about 1338.8882186868. Note that the first 3 decimals are identical.

Adding to 2400120024 its reverse (4200210042), we get a palindrome (6600330066).

The spelling of 2400120024 in words is "two billion, four hundred million, one hundred twenty thousand, twenty-four".