2997440 has 112 divisors (see below), whose sum is σ = 8229600. Its totient is φ = 1032192.

The previous prime is 2997439. The next prime is 2997443. The reversal of 2997440 is 447992.

2997440 = 85² + 86² + ... + 212².

2997440 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2997440.

It is not an unprimeable number, because it can be changed into a prime (2997443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103346 + ... + 103374.

2^2997440 is an apocalyptic number.

2997440 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 2997440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4114800).

2997440 is an abundant number, since it is smaller than the sum of its proper divisors (5232160).

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

2997440 is a wasteful number, since it uses less digits than its factorization.

2997440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 2997440 is about 1731.3116415019. The cubic root of 2997440 is about 144.1839213684.

The spelling of 2997440 in words is "two million, nine hundred ninety-seven thousand, four hundred forty".