2567145312 has 144 divisors (see below), whose sum is σ = 7714783440. Its totient is φ = 839434752.

The previous prime is 2567145293. The next prime is 2567145379. The reversal of 2567145312 is 2135417652.

2567145312 is a `hidden beast` number, since 2 + 56 + 71 + 4 + 531 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 409014 + ... + 415242.

It is an arithmetic number, because the mean of its divisors is an integer number (53574885).

Almost surely, 2^2567145312 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 2567145312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3857391720).

2567145312 is an abundant number, since it is smaller than the sum of its proper divisors (5147638128).

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

2567145312 is an equidigital number, since it uses as much as digits as its factorization.

2567145312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6307 (or 6287 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 2567145312 is about 50667.0041743145. The cubic root of 2567145312 is about 1369.2523158396.

The spelling of 2567145312 in words is "two billion, five hundred sixty-seven million, one hundred forty-five thousand, three hundred twelve".