2245517786400 has 432 divisors, whose sum is σ = 8514934384320. Its totient is φ = 512510208000.

The previous prime is 2245517786399. The next prime is 2245517786417. The reversal of 2245517786400 is 46877155422.

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 71 ways as a sum of consecutive naturals, for example, 82423981 + ... + 82451219.

It is an arithmetic number, because the mean of its divisors is an integer number (19710496260).

Almost surely, 2^{2245517786400} is an apocalyptic number.

2245517786400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2245517786400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4257467192160).

2245517786400 is an abundant number, since it is smaller than the sum of its proper divisors (6269416597920).

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

2245517786400 is a wasteful number, since it uses less digits than its factorization.

2245517786400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27977 (or 27957 counting only the distinct ones).

The product of its (nonzero) digits is 3763200, while the sum is 51.

The spelling of 2245517786400 in words is "two trillion, two hundred forty-five billion, five hundred seventeen million, seven hundred eighty-six thousand, four hundred".