2265112512 has 560 divisors, whose sum is σ = 8003133600. Its totient is φ = 627056640.

The previous prime is 2265112469. The next prime is 2265112513. The reversal of 2265112512 is 2152115622.

2265112512 is a `hidden beast` number, since 2 + 2 + 651 + 1 + 2 + 5 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2265112513) 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, 37132962 + ... + 37133022.

It is an arithmetic number, because the mean of its divisors is an integer number (14291310).

Almost surely, 2^2265112512 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 2265112512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4001566800).

2265112512 is an abundant number, since it is smaller than the sum of its proper divisors (5738021088).

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

2265112512 is a wasteful number, since it uses less digits than its factorization.

2265112512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 127 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

The square root of 2265112512 is about 47593.1981694864. The cubic root of 2265112512 is about 1313.2979298234.

The spelling of 2265112512 in words is "two billion, two hundred sixty-five million, one hundred twelve thousand, five hundred twelve".