2732240 has 120 divisors (see below), whose sum is σ = 8015112. Its totient is φ = 860160.

The previous prime is 2732237. The next prime is 2732243. The reversal of 2732240 is 422372.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2732237) and next prime (2732243).

It can be written as a sum of positive squares in 4 ways, for example, as 94864 + 2637376 = 308^2 + 1624^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2732243) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66620 + ... + 66660.

2^2732240 is an apocalyptic number.

2732240 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 2732240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4007556).

2732240 is an abundant number, since it is smaller than the sum of its proper divisors (5282872).

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

2732240 is a wasteful number, since it uses less digits than its factorization.

2732240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 20.

The square root of 2732240 is about 1652.9488800323. The cubic root of 2732240 is about 139.7997136035.

The spelling of 2732240 in words is "two million, seven hundred thirty-two thousand, two hundred forty".