2613536440 has 64 divisors (see below), whose sum is σ = 6048639360. Its totient is φ = 1015603200.

The previous prime is 2613536411. The next prime is 2613536449. The reversal of 2613536440 is 446353162.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2613536396 and 2613536405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2613536449) 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, 1631640 + ... + 1633240.

It is an arithmetic number, because the mean of its divisors is an integer number (94509990).

Almost surely, 2^2613536440 is an apocalyptic number.

2613536440 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 2613536440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3024319680).

2613536440 is an abundant number, since it is smaller than the sum of its proper divisors (3435102920).

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

2613536440 is a wasteful number, since it uses less digits than its factorization.

2613536440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2752 (or 2748 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 34.

The square root of 2613536440 is about 51122.7585327709. The cubic root of 2613536440 is about 1377.4510885649.

The spelling of 2613536440 in words is "two billion, six hundred thirteen million, five hundred thirty-six thousand, four hundred forty".