2400224057676 has 288 divisors, whose sum is σ = 6367566965760. Its totient is φ = 761743180800.

The previous prime is 2400224057669. The next prime is 2400224057687. The reversal of 2400224057676 is 6767504220042.

It is a happy number.

2400224057676 is a `hidden beast` number, since 2 + 4 + 0 + 0 + 2 + 2 + 4 + 0 + 576 + 76 = 666.

It is a super-2 number, since 2×2400224057676² (a number of 26 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 4888439791 + ... + 4888440281.

It is an arithmetic number, because the mean of its divisors is an integer number (22109607520).

Almost surely, 2^{2400224057676} 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 2400224057676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3183783482880).

2400224057676 is an abundant number, since it is smaller than the sum of its proper divisors (3967342908084).

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

2400224057676 is a wasteful number, since it uses less digits than its factorization.

2400224057676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1037 (or 1032 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 2400224057676 in words is "two trillion, four hundred billion, two hundred twenty-four million, fifty-seven thousand, six hundred seventy-six".