2512641288 has 64 divisors (see below), whose sum is σ = 6464949120. Its totient is φ = 813196800.

The previous prime is 2512641281. The next prime is 2512641289. The reversal of 2512641288 is 8821462152.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2512641281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 459933 + ... + 465363.

It is an arithmetic number, because the mean of its divisors is an integer number (101014830).

Almost surely, 2^2512641288 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 2512641288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3232474560).

2512641288 is an abundant number, since it is smaller than the sum of its proper divisors (3952307832).

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

2512641288 is a wasteful number, since it uses less digits than its factorization.

2512641288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5998 (or 5994 counting only the distinct ones).

The product of its digits is 61440, while the sum is 39.

The square root of 2512641288 is about 50126.2534805864. The cubic root of 2512641288 is about 1359.4925456838.

The spelling of 2512641288 in words is "two billion, five hundred twelve million, six hundred forty-one thousand, two hundred eighty-eight".