2742384 has 80 divisors (see below), whose sum is σ = 7777280. Its totient is φ = 829440.

The previous prime is 2742371. The next prime is 2742407. The reversal of 2742384 is 4832472.

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, 28224 + ... + 28320.

It is an arithmetic number, because the mean of its divisors is an integer number (97216).

2^2742384 is an apocalyptic number.

2742384 is a gapful number since it is divisible by the number (24) 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 2742384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3888640).

2742384 is an abundant number, since it is smaller than the sum of its proper divisors (5034896).

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

2742384 is a wasteful number, since it uses less digits than its factorization.

2742384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 152 counting only the distinct ones).

The product of its digits is 10752, while the sum is 30.

The square root of 2742384 is about 1656.0144926902. The cubic root of 2742384 is about 139.9725116099.

The spelling of 2742384 in words is "two million, seven hundred forty-two thousand, three hundred eighty-four".