2512332288 has 280 divisors, whose sum is σ = 7728576768. Its totient is φ = 815173632.

The previous prime is 2512332281. The next prime is 2512332289. The reversal of 2512332288 is 8822332152.

It is a happy number.

2512332288 is a `hidden beast` number, since 251 + 2 + 3 + 322 + 88 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2512332281) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 19782081 + ... + 19782207.

Almost surely, 2^2512332288 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 2512332288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3864288384).

2512332288 is an abundant number, since it is smaller than the sum of its proper divisors (5216244480).

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

2512332288 is an frugal number, since it uses more digits than its factorization.

2512332288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 185 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 2512332288 is about 50123.1711686322. The cubic root of 2512332288 is about 1359.4368141023.

The spelling of 2512332288 in words is "two billion, five hundred twelve million, three hundred thirty-two thousand, two hundred eighty-eight".