2972240 has 40 divisors (see below), whose sum is σ = 7050888. Its totient is φ = 1164800.

The previous prime is 2972219. The next prime is 2972251. The reversal of 2972240 is 422792.

It can be written as a sum of positive squares in 4 ways, for example, as 1056784 + 1915456 = 1028^2 + 1384^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3890 + ... + 4590.

2^2972240 is an apocalyptic number.

2972240 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 2972240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3525444).

2972240 is an abundant number, since it is smaller than the sum of its proper divisors (4078648).

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

2972240 is a wasteful number, since it uses less digits than its factorization.

2972240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 2972240 is about 1724.0185613850. The cubic root of 2972240 is about 143.7787239387.

The spelling of 2972240 in words is "two million, nine hundred seventy-two thousand, two hundred forty".