2233864264608 has 288 divisors, whose sum is σ = 6806202923520. Its totient is φ = 719980462080.

The previous prime is 2233864264579. The next prime is 2233864264663. The reversal of 2233864264608 is 8064624683322.

2233864264608 is a `hidden beast` number, since 2 + 2 + 3 + 3 + 8 + 6 + 4 + 26 + 4 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 339644616 + ... + 339651192.

It is an arithmetic number, because the mean of its divisors is an integer number (23632649040).

Almost surely, 2^{2233864264608} 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 2233864264608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3403101461760).

2233864264608 is an abundant number, since it is smaller than the sum of its proper divisors (4572338658912).

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

2233864264608 is a wasteful number, since it uses less digits than its factorization.

2233864264608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8042 (or 8022 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 54.

The spelling of 2233864264608 in words is "two trillion, two hundred thirty-three billion, eight hundred sixty-four million, two hundred sixty-four thousand, six hundred eight".