2718678720 has 112 divisors (see below), whose sum is σ = 8677582848. Its totient is φ = 721136640.

The previous prime is 2718678719. The next prime is 2718678727. The reversal of 2718678720 is 278768172.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2718678720.

It is not an unprimeable number, because it can be changed into a prime (2718678727) 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, 175947 + ... + 190773.

Almost surely, 2^2718678720 is an apocalyptic number.

2718678720 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 2718678720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4338791424).

2718678720 is an abundant number, since it is smaller than the sum of its proper divisors (5958904128).

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

2718678720 is a wasteful number, since it uses less digits than its factorization.

2718678720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15038 (or 15028 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 48.

The square root of 2718678720 is about 52140.9505091727. The cubic root of 2718678720 is about 1395.6803454177.

The spelling of 2718678720 in words is "two billion, seven hundred eighteen million, six hundred seventy-eight thousand, seven hundred twenty".