2245318099200 has 864 divisors, whose sum is σ = 9454719859200. Its totient is φ = 515662848000.

The previous prime is 2245318099177. The next prime is 2245318099223. The reversal of 2245318099200 is 29908135422.

2245318099200 is a `hidden beast` number, since 2 + 2 + 4 + 531 + 8 + 0 + 99 + 20 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2245318099177) and next prime (2245318099223).

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36084115 + ... + 36146285.

It is an arithmetic number, because the mean of its divisors is an integer number (10942962800).

Almost surely, 2^{2245318099200} is an apocalyptic number.

2245318099200 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 2245318099200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4727359929600).

2245318099200 is an abundant number, since it is smaller than the sum of its proper divisors (7209401760000).

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

2245318099200 is a wasteful number, since it uses less digits than its factorization.

2245318099200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62236 (or 62211 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 2245318099200 in words is "two trillion, two hundred forty-five billion, three hundred eighteen million, ninety-nine thousand, two hundred".