2242985776992 has 672 divisors, whose sum is σ = 6963198359040. Its totient is φ = 710220026880.

The previous prime is 2242985776963. The next prime is 2242985777003. The reversal of 2242985776992 is 2996775892422.

2242985776992 is a `hidden beast` number, since 2 + 2 + 42 + 9 + 8 + 577 + 6 + 9 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 2242985776992.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 9384877609 + ... + 9384877847.

It is an arithmetic number, because the mean of its divisors is an integer number (10361902320).

Almost surely, 2^{2242985776992} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2242985776992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3481599179520).

2242985776992 is an abundant number, since it is smaller than the sum of its proper divisors (4720212582048).

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

2242985776992 is a wasteful number, since it uses less digits than its factorization.

2242985776992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 495 counting only the distinct ones).

The product of its digits is 548674560, while the sum is 72.

The spelling of 2242985776992 in words is "two trillion, two hundred forty-two billion, nine hundred eighty-five million, seven hundred seventy-six thousand, nine hundred ninety-two".