2242466000400 has 120 divisors (see below), whose sum is σ = 7377511263424. Its totient is φ = 581829004800.

The previous prime is 2242466000377. The next prime is 2242466000417. The reversal of 2242466000400 is 40006642422.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 25208596 + ... + 25297395.

Almost surely, 2^{2242466000400} is an apocalyptic number.

2242466000400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2242466000400 is an abundant number, since it is smaller than the sum of its proper divisors (5135045263024).

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

2242466000400 is a wasteful number, since it uses less digits than its factorization.

2242466000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50506049 (or 50506038 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The spelling of 2242466000400 in words is "two trillion, two hundred forty-two billion, four hundred sixty-six million, four hundred", and thus it is an aban number.