2512106368 has 64 divisors (see below), whose sum is σ = 5294167200. Its totient is φ = 1184882688.

The previous prime is 2512106357. The next prime is 2512106369. The reversal of 2512106368 is 8636012152.

2512106368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2512106369) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 209068 + ... + 220756.

Almost surely, 2^2512106368 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 2512106368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2647083600).

2512106368 is an abundant number, since it is smaller than the sum of its proper divisors (2782060832).

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

2512106368 is a wasteful number, since it uses less digits than its factorization.

2512106368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11799 (or 11787 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 2512106368 is about 50120.9174696553. The cubic root of 2512106368 is about 1359.3960640294.

The spelling of 2512106368 in words is "two billion, five hundred twelve million, one hundred six thousand, three hundred sixty-eight".