2400201552000 has 256 divisors, whose sum is σ = 9093336295680. Its totient is φ = 548617420800.

The previous prime is 2400201551977. The next prime is 2400201552043. The reversal of 2400201552000 is 2551020042.

It is a happy number.

It is a super-3 number, since 3×2400201552000³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 31 ways as a sum of consecutive naturals, for example, 3235729 + ... + 3907728.

It is an arithmetic number, because the mean of its divisors is an integer number (35520844905).

Almost surely, 2^{2400201552000} is an apocalyptic number.

2400201552000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2400201552000 is an abundant number, since it is smaller than the sum of its proper divisors (6693134743680).

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

2400201552000 is an equidigital number, since it uses as much as digits as its factorization.

2400201552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7143496 (or 7143474 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

Adding to 2400201552000 its reverse (2551020042), we get a palindrome (2402752572042).

The spelling of 2400201552000 in words is "two trillion, four hundred billion, two hundred one million, five hundred fifty-two thousand".