2718240 has 96 divisors (see below), whose sum is σ = 9797760. Its totient is φ = 620544.

The previous prime is 2718229. The next prime is 2718241. The reversal of 2718240 is 428172.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2718240.

It is not an unprimeable number, because it can be changed into a prime (2718241) 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, 2956 + ... + 3764.

It is an arithmetic number, because the mean of its divisors is an integer number (102060).

2^2718240 is an apocalyptic number.

2718240 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 2718240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4898880).

2718240 is an abundant number, since it is smaller than the sum of its proper divisors (7079520).

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

2718240 is a wasteful number, since it uses less digits than its factorization.

2718240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 2718240 is about 1648.7085855299. The cubic root of 2718240 is about 139.5605266567.

The spelling of 2718240 in words is "two million, seven hundred eighteen thousand, two hundred forty".