2512646032 has 60 divisors (see below), whose sum is σ = 5549101680. Its totient is φ = 1098624384.

The previous prime is 2512646029. The next prime is 2512646041. The reversal of 2512646032 is 2306462152.

It is a junction number, because it is equal to n+sod(n) for n = 2512645985 and 2512646003.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 26923 + ... + 75829.

It is an arithmetic number, because the mean of its divisors is an integer number (92485028).

Almost surely, 2^2512646032 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 2512646032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2774550840).

2512646032 is an abundant number, since it is smaller than the sum of its proper divisors (3036455648).

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

2512646032 is a wasteful number, since it uses less digits than its factorization.

2512646032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48960 (or 48941 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The square root of 2512646032 is about 50126.3008010765. The cubic root of 2512646032 is about 1359.4934012813.

The spelling of 2512646032 in words is "two billion, five hundred twelve million, six hundred forty-six thousand, thirty-two".