2609852680 has 64 divisors (see below), whose sum is σ = 6083391600. Its totient is φ = 1006494720.

The previous prime is 2609852647. The next prime is 2609852681. The reversal of 2609852680 is 862589062.

It can be written as a sum of positive squares in 8 ways, for example, as 488144836 + 2121707844 = 22094^2 + 46062^2 .

It is a super-2 number, since 2×2609852680² = 13622662022606364800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2609852680.

It is not an unprimeable number, because it can be changed into a prime (2609852681) 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, 1173970 + ... + 1176190.

Almost surely, 2^2609852680 is an apocalyptic number.

2609852680 is a gapful number since it is divisible by the number (20) 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 2609852680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3041695800).

2609852680 is an abundant number, since it is smaller than the sum of its proper divisors (3473538920).

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

2609852680 is a wasteful number, since it uses less digits than its factorization.

2609852680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3274 (or 3270 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 46.

The square root of 2609852680 is about 51086.7172560539. The cubic root of 2609852680 is about 1376.8036152757.

The spelling of 2609852680 in words is "two billion, six hundred nine million, eight hundred fifty-two thousand, six hundred eighty".