2243560613904 has 495 divisors, whose sum is σ = 6919380421023. Its totient is φ = 704661477696.

The previous prime is 2243560613893. The next prime is 2243560613923. The reversal of 2243560613904 is 4093160653422.

The square root of 2243560613904 is 1497852.

It is a perfect power (a square), and thus also a powerful number.

2243560613904 is a `hidden beast` number, since 2 + 2 + 4 + 3 + 5 + 606 + 1 + 39 + 0 + 4 = 666.

It is a super-2 number, since 2×2243560613904² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2243560613904.

It is an unprimeable number.

It is a polite number, since it can be written in 98 ways as a sum of consecutive naturals, for example, 33485979279 + ... + 33485979345.

Almost surely, 2^{2243560613904} is an apocalyptic number.

2243560613904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2243560613904 is the 1497852-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2243560613904

2243560613904 is an abundant number, since it is smaller than the sum of its proper divisors (4675819807119).

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

2243560613904 is an frugal number, since it uses more digits than its factorization.

2243560613904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 2243560613904 in words is "two trillion, two hundred forty-three billion, five hundred sixty million, six hundred thirteen thousand, nine hundred four".