2243357835264 has 1216 divisors, whose sum is σ = 8474491182080. Its totient is φ = 577895399424.

The previous prime is 2243357835193. The next prime is 2243357835269. The reversal of 2243357835264 is 4625387533422.

2243357835264 is a `hidden beast` number, since 2 + 2 + 4 + 3 + 3 + 578 + 3 + 5 + 2 + 64 = 666.

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

Its product of digits (29030400) is a multiple of the sum of its prime factors (120).

It is a self number, because there is not a number n which added to its sum of digits gives 2243357835264.

It is not an unprimeable number, because it can be changed into a prime (2243357835269) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52171112427 + ... + 52171112469.

Almost surely, 2^{2243357835264} is an apocalyptic number.

2243357835264 is a gapful number since it is divisible by the number (24) 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 2243357835264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4237245591040).

2243357835264 is an abundant number, since it is smaller than the sum of its proper divisors (6231133346816).

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

2243357835264 is an frugal number, since it uses more digits than its factorization.

2243357835264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 68 counting only the distinct ones).

The product of its digits is 29030400, while the sum is 54.

The spelling of 2243357835264 in words is "two trillion, two hundred forty-three billion, three hundred fifty-seven million, eight hundred thirty-five thousand, two hundred sixty-four".