2713561440 has 192 divisors, whose sum is σ = 9030776832. Its totient is φ = 683827200.

The previous prime is 2713561427. The next prime is 2713561447. The reversal of 2713561440 is 441653172.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2713561447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 637720 + ... + 641960.

It is an arithmetic number, because the mean of its divisors is an integer number (47035296).

Almost surely, 2^2713561440 is an apocalyptic number.

2713561440 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 2713561440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4515388416).

2713561440 is an abundant number, since it is smaller than the sum of its proper divisors (6317215392).

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

2713561440 is a wasteful number, since it uses less digits than its factorization.

2713561440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4333 (or 4325 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 2713561440 is about 52091.8557933963. The cubic root of 2713561440 is about 1394.8041142712.

The spelling of 2713561440 in words is "two billion, seven hundred thirteen million, five hundred sixty-one thousand, four hundred forty".