2509686312 has 48 divisors (see below), whose sum is σ = 7298580960. Its totient is φ = 717052896.

The previous prime is 2509686287. The next prime is 2509686317. The reversal of 2509686312 is 2136869052.

It is a super-2 number, since 2×2509686312² = 12597050769280322688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (2509686317) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1065868 + ... + 1068219.

It is an arithmetic number, because the mean of its divisors is an integer number (152053770).

Almost surely, 2^2509686312 is an apocalyptic number.

It is an amenable number.

2509686312 is an abundant number, since it is smaller than the sum of its proper divisors (4788894648).

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

2509686312 is a wasteful number, since it uses less digits than its factorization.

2509686312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2134110 (or 2134099 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 2509686312 is about 50096.7694766838. The cubic root of 2509686312 is about 1358.9593957377.

The spelling of 2509686312 in words is "two billion, five hundred nine million, six hundred eighty-six thousand, three hundred twelve".