2241795890880 has 3360 divisors, whose sum is σ = 10828580539392. Its totient is φ = 427652628480.

The previous prime is 2241795890879. The next prime is 2241795890909. The reversal of 2241795890880 is 880985971422.

2241795890880 is a `hidden beast` number, since 2 + 2 + 41 + 7 + 9 + 589 + 0 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 52134788139 + ... + 52134788181.

Almost surely, 2^{2241795890880} is an apocalyptic number.

2241795890880 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 2241795890880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5414290269696).

2241795890880 is an abundant number, since it is smaller than the sum of its proper divisors (8586784648512).

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

2241795890880 is a wasteful number, since it uses less digits than its factorization.

2241795890880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 63.

The spelling of 2241795890880 in words is "two trillion, two hundred forty-one billion, seven hundred ninety-five million, eight hundred ninety thousand, eight hundred eighty".