2240085196800 has 2016 divisors, whose sum is σ = 9450543355680. Its totient is φ = 525533184000.

The previous prime is 2240085196763. The next prime is 2240085196819. The reversal of 2240085196800 is 86915800422.

2240085196800 is a `hidden beast` number, since 2 + 2 + 400 + 85 + 1 + 96 + 80 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 72260812785 + ... + 72260812815.

Almost surely, 2^{2240085196800} is an apocalyptic number.

2240085196800 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 2240085196800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4725271677840).

2240085196800 is an abundant number, since it is smaller than the sum of its proper divisors (7210458158880).

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

2240085196800 is an frugal number, since it uses more digits than its factorization.

2240085196800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 2240085196800 in words is "two trillion, two hundred forty billion, eighty-five million, one hundred ninety-six thousand, eight hundred".