2983040 has 64 divisors (see below), whose sum is σ = 7344000. Its totient is φ = 1158144.

The previous prime is 2983021. The next prime is 2983049. The reversal of 2983040 is 403892.

2983040 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (2983049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37721 + ... + 37799.

It is an arithmetic number, because the mean of its divisors is an integer number (114750).

2^2983040 is an apocalyptic number.

2983040 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 2983040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3672000).

2983040 is an abundant number, since it is smaller than the sum of its proper divisors (4360960).

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

2983040 is an equidigital number, since it uses as much as digits as its factorization.

2983040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 2983040 is about 1727.1479380759. The cubic root of 2983040 is about 143.9526593354.

The spelling of 2983040 in words is "two million, nine hundred eighty-three thousand, forty".