2608109640 has 96 divisors (see below), whose sum is σ = 8488279800. Its totient is φ = 694517760.

The previous prime is 2608109629. The next prime is 2608109653. The reversal of 2608109640 is 469018062.

2608109640 is a `hidden beast` number, since 2 + 6 + 0 + 8 + 1 + 0 + 9 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1757454084 + 850655556 = 41922^2 + 29166^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2608109595 and 2608109604.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 272130 + ... + 281550.

Almost surely, 2^2608109640 is an apocalyptic number.

2608109640 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 2608109640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4244139900).

2608109640 is an abundant number, since it is smaller than the sum of its proper divisors (5880170160).

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

2608109640 is a wasteful number, since it uses less digits than its factorization.

2608109640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10207 (or 10200 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 2608109640 is about 51069.6547863797. The cubic root of 2608109640 is about 1376.4970388105.

The spelling of 2608109640 in words is "two billion, six hundred eight million, one hundred nine thousand, six hundred forty".