2742440 has 64 divisors (see below), whose sum is σ = 6771600. Its totient is φ = 995328.

The previous prime is 2742427. The next prime is 2742461. The reversal of 2742440 is 442472.

It can be written as a sum of positive squares in 8 ways, for example, as 2365444 + 376996 = 1538^2 + 614^2 .

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, 25106 + ... + 25214.

2^2742440 is an apocalyptic number.

2742440 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 2742440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3385800).

2742440 is an abundant number, since it is smaller than the sum of its proper divisors (4029160).

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

2742440 is a wasteful number, since it uses less digits than its factorization.

2742440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 23.

The square root of 2742440 is about 1656.0314006685. The cubic root of 2742440 is about 139.9734643585.

Subtracting from 2742440 its reverse (442472), we obtain a cube (2299968 = 132³).

The spelling of 2742440 in words is "two million, seven hundred forty-two thousand, four hundred forty".