2613935040 has 112 divisors (see below), whose sum is σ = 8328464928. Its totient is φ = 694595584.

The previous prime is 2613935029. The next prime is 2613935053. The reversal of 2613935040 is 405393162.

It is a junction number, because it is equal to n+sod(n) for n = 2613934992 and 2613935010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 276634 + ... + 285926.

It is an arithmetic number, because the mean of its divisors is an integer number (74361294).

Almost surely, 2^2613935040 is an apocalyptic number.

2613935040 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 2613935040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4164232464).

2613935040 is an abundant number, since it is smaller than the sum of its proper divisors (5714529888).

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

2613935040 is a wasteful number, since it uses less digits than its factorization.

2613935040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9606 (or 9596 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 2613935040 is about 51126.6568435684. The cubic root of 2613935040 is about 1377.5211117062.

The spelling of 2613935040 in words is "two billion, six hundred thirteen million, nine hundred thirty-five thousand, forty".