2713909440 has 224 divisors, whose sum is σ = 9448897536. Its totient is φ = 654499840.

The previous prime is 2713909399. The next prime is 2713909453. The reversal of 2713909440 is 449093172.

It is a super-2 number, since 2×2713909440² = 14730608897042227200, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 2459929 + ... + 2461031.

Almost surely, 2^2713909440 is an apocalyptic number.

2713909440 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 2713909440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4724448768).

2713909440 is an abundant number, since it is smaller than the sum of its proper divisors (6734988096).

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

2713909440 is a wasteful number, since it uses less digits than its factorization.

2713909440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1367 (or 1357 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 2713909440 is about 52095.1959397409. The cubic root of 2713909440 is about 1394.8637371560.

The spelling of 2713909440 in words is "two billion, seven hundred thirteen million, nine hundred nine thousand, four hundred forty".