2230874763264 has 1040 divisors, whose sum is σ = 7912395912960. Its totient is φ = 613122048000.

The previous prime is 2230874763263. The next prime is 2230874763287. The reversal of 2230874763264 is 4623674780322.

2230874763264 is a `hidden beast` number, since 2 + 2 + 3 + 0 + 87 + 476 + 32 + 64 = 666.

It is a super-3 number, since 3×2230874763264³ (a number of 38 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2230874763264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2230874763263) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8887947139 + ... + 8887947389.

Almost surely, 2^{2230874763264} is an apocalyptic number.

2230874763264 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 2230874763264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3956197956480).

2230874763264 is an abundant number, since it is smaller than the sum of its proper divisors (5681521149696).

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

2230874763264 is an equidigital number, since it uses as much as digits as its factorization.

2230874763264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 54.

The spelling of 2230874763264 in words is "two trillion, two hundred thirty billion, eight hundred seventy-four million, seven hundred sixty-three thousand, two hundred sixty-four".