2400218399952 has 120 divisors (see below), whose sum is σ = 7271206874880. Its totient is φ = 757963656000.

The previous prime is 2400218399869. The next prime is 2400218399981. The reversal of 2400218399952 is 2599938120042.

2400218399952 is a `hidden beast` number, since 2 + 400 + 2 + 183 + 9 + 9 + 9 + 52 = 666.

It is a super-2 number, since 2×2400218399952² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 23 ways as a sum of consecutive naturals, for example, 7539424 + ... + 7851327.

It is an arithmetic number, because the mean of its divisors is an integer number (60593390624).

Almost surely, 2^{2400218399952} is an apocalyptic number.

It is an amenable number.

2400218399952 is an abundant number, since it is smaller than the sum of its proper divisors (4870988474928).

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

2400218399952 is a wasteful number, since it uses less digits than its factorization.

2400218399952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15390806 (or 15390775 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 2400218399952 in words is "two trillion, four hundred billion, two hundred eighteen million, three hundred ninety-nine thousand, nine hundred fifty-two".