2609685540 has 240 divisors, whose sum is σ = 10207257984. Its totient is φ = 542246400.

The previous prime is 2609685539. The next prime is 2609685599. The reversal of 2609685540 is 455869062.

2609685540 is a `hidden beast` number, since 2 + 6 + 0 + 96 + 8 + 554 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 114280 + ... + 135200.

Almost surely, 2^2609685540 is an apocalyptic number.

2609685540 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 2609685540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5103628992).

2609685540 is an abundant number, since it is smaller than the sum of its proper divisors (7597572444).

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

2609685540 is a wasteful number, since it uses less digits than its factorization.

2609685540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20960 (or 20949 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 2609685540 is about 51085.0813839031. The cubic root of 2609685540 is about 1376.7742235952.

The spelling of 2609685540 in words is "two billion, six hundred nine million, six hundred eighty-five thousand, five hundred forty".