2719888 has 40 divisors (see below), whose sum is σ = 5803200. Its totient is φ = 1229184.

The previous prime is 2719883. The next prime is 2719897. The reversal of 2719888 is 8889172.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2719883) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6798 + ... + 7186.

It is an arithmetic number, because the mean of its divisors is an integer number (145080).

2^2719888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2719888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2901600).

2719888 is an abundant number, since it is smaller than the sum of its proper divisors (3083312).

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

2719888 is a wasteful number, since it uses less digits than its factorization.

2719888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 433 counting only the distinct ones).

The product of its digits is 64512, while the sum is 43.

The square root of 2719888 is about 1649.2082949100. The cubic root of 2719888 is about 139.5887249619.

The spelling of 2719888 in words is "two million, seven hundred nineteen thousand, eight hundred eighty-eight".