2242336765680 has 640 divisors, whose sum is σ = 8545081651200. Its totient is φ = 535934361600.

The previous prime is 2242336765661. The next prime is 2242336765703. The reversal of 2242336765680 is 865676332422.

2242336765680 is a `hidden beast` number, since 2 + 2 + 4 + 2 + 3 + 3 + 6 + 76 + 568 + 0 = 666.

2242336765680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 839510745 + ... + 839513415.

It is an arithmetic number, because the mean of its divisors is an integer number (13351690080).

Almost surely, 2^{2242336765680} is an apocalyptic number.

2242336765680 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 2242336765680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4272540825600).

2242336765680 is an abundant number, since it is smaller than the sum of its proper divisors (6302744885520).

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

2242336765680 is a wasteful number, since it uses less digits than its factorization.

2242336765680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3190 (or 3178 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 54.

The spelling of 2242336765680 in words is "two trillion, two hundred forty-two billion, three hundred thirty-six million, seven hundred sixty-five thousand, six hundred eighty".