2264312504520 has 192 divisors, whose sum is σ = 8032266815040. Its totient is φ = 548633664000.

The previous prime is 2264312504473. The next prime is 2264312504527. The reversal of 2264312504520 is 254052134622.

2264312504520 is a `hidden beast` number, since 2 + 2 + 6 + 4 + 3 + 125 + 0 + 4 + 520 = 666.

It is a super-2 number, since 2×2264312504520² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2264312504527) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7377567 + ... + 7678353.

It is an arithmetic number, because the mean of its divisors is an integer number (41834722995).

Almost surely, 2^{2264312504520} is an apocalyptic number.

2264312504520 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 2264312504520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4016133407520).

2264312504520 is an abundant number, since it is smaller than the sum of its proper divisors (5767954310520).

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

2264312504520 is a wasteful number, since it uses less digits than its factorization.

2264312504520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302716 (or 302709 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 2264312504520 in words is "two trillion, two hundred sixty-four billion, three hundred twelve million, five hundred four thousand, five hundred twenty".