2713920 has 112 divisors (see below), whose sum is σ = 9436608. Its totient is φ = 655360.

The previous prime is 2713883. The next prime is 2713933. The reversal of 2713920 is 293172.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 4.

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, 10432 + ... + 10688.

2^2713920 is an apocalyptic number.

2713920 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 2713920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4718304).

2713920 is an abundant number, since it is smaller than the sum of its proper divisors (6722688).

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

2713920 is a wasteful number, since it uses less digits than its factorization.

2713920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 2713920 is about 1647.3979482809. The cubic root of 2713920 is about 139.4865546323.

The spelling of 2713920 in words is "two million, seven hundred thirteen thousand, nine hundred twenty".