2742368 has 24 divisors (see below), whose sum is σ = 5527368. Its totient is φ = 1338624.

The previous prime is 2742361. The next prime is 2742371. The reversal of 2742368 is 8632472.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a d-powerful number, because it can be written as 2⁵ + 7⁶ + 4⁵ + 2¹⁹ + 3⁷ + 6² + 8⁷ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2742361) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 380 + ... + 2372.

It is an arithmetic number, because the mean of its divisors is an integer number (230307).

2^2742368 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 2742368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2763684).

2742368 is an abundant number, since it is smaller than the sum of its proper divisors (2785000).

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

2742368 is a wasteful number, since it uses less digits than its factorization.

2742368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2046 (or 2038 counting only the distinct ones).

The product of its digits is 16128, while the sum is 32.

The square root of 2742368 is about 1656.0096618076. The cubic root of 2742368 is about 139.9722393937.

Subtracting from 2742368 its sum of digits (32), we obtain a square (2742336 = 1656²).

The spelling of 2742368 in words is "two million, seven hundred forty-two thousand, three hundred sixty-eight".