2400124056 has 192 divisors, whose sum is σ = 7106732640. Its totient is φ = 672460800.

The previous prime is 2400124033. The next prime is 2400124057. The reversal of 2400124056 is 6504210042.

It is a super-2 number, since 2×2400124056² = 11521190968379782272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2400124057) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3011050 + ... + 3011846.

Almost surely, 2^2400124056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2400124056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3553366320).

2400124056 is an abundant number, since it is smaller than the sum of its proper divisors (4706608584).

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

2400124056 is a wasteful number, since it uses less digits than its factorization.

2400124056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 2400124056 is about 48991.0609805503. The cubic root of 2400124056 is about 1338.8889684263. Note that the first 3 decimals are identical.

Adding to 2400124056 its reverse (6504210042), we get a palindrome (8904334098).

The spelling of 2400124056 in words is "two billion, four hundred million, one hundred twenty-four thousand, fifty-six".