2719392 has 48 divisors (see below), whose sum is σ = 7691040. Its totient is φ = 836352.

The previous prime is 2719391. The next prime is 2719393. The reversal of 2719392 is 2939172.

2719392 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2719391) and next prime (2719393).

It is a tau number, because it is divible by the number of its divisors (48).

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (2719391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 159 + ... + 2337.

It is an arithmetic number, because the mean of its divisors is an integer number (160230).

2^2719392 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 2719392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3845520).

2719392 is an abundant number, since it is smaller than the sum of its proper divisors (4971648).

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

2719392 is a wasteful number, since it uses less digits than its factorization.

2719392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2205 (or 2197 counting only the distinct ones).

The product of its digits is 6804, while the sum is 33.

The square root of 2719392 is about 1649.0579128703. The cubic root of 2719392 is about 139.5802392918.

The spelling of 2719392 in words is "two million, seven hundred nineteen thousand, three hundred ninety-two".