2981440 has 112 divisors (see below), whose sum is σ = 8924544. Its totient is φ = 929280.

The previous prime is 2981437. The next prime is 2981449. The reversal of 2981440 is 441892.

2981440 is digitally balanced in base 2, 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 (112).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 2981399 and 2981408.

It is not an unprimeable number, because it can be changed into a prime (2981449) 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, 271035 + ... + 271045.

2^2981440 is an apocalyptic number.

2981440 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 2981440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4462272).

2981440 is an abundant number, since it is smaller than the sum of its proper divisors (5943104).

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

2981440 is an equidigital number, since it uses as much as digits as its factorization.

2981440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 2981440 is about 1726.6846845907. The cubic root of 2981440 is about 143.9269176483.

The spelling of 2981440 in words is "two million, nine hundred eighty-one thousand, four hundred forty".