2512009136 has 80 divisors (see below), whose sum is σ = 6066278400. Its totient is φ = 981137664.

The previous prime is 2512009127. The next prime is 2512009139. The reversal of 2512009136 is 6319002152.

It is a junction number, because it is equal to n+sod(n) for n = 2512009099 and 2512009108.

It is not an unprimeable number, because it can be changed into a prime (2512009139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104105 + ... + 125943.

It is an arithmetic number, because the mean of its divisors is an integer number (75828480).

Almost surely, 2^2512009136 is an apocalyptic number.

2512009136 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2512009136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3033139200).

2512009136 is an abundant number, since it is smaller than the sum of its proper divisors (3554269264).

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

2512009136 is a wasteful number, since it uses less digits than its factorization.

2512009136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21946 (or 21940 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 29.

The square root of 2512009136 is about 50119.9474860060. The cubic root of 2512009136 is about 1359.3785251618.

The spelling of 2512009136 in words is "two billion, five hundred twelve million, nine thousand, one hundred thirty-six".