2981904 has 80 divisors (see below), whose sum is σ = 8368512. Its totient is φ = 912384.

The previous prime is 2981903. The next prime is 2981911. The reversal of 2981904 is 4091892.

It is not an unprimeable number, because it can be changed into a prime (2981903) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40812 + ... + 40884.

2^2981904 is an apocalyptic number.

2981904 is a gapful number since it is divisible by the number (24) 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 2981904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4184256).

2981904 is an abundant number, since it is smaller than the sum of its proper divisors (5386608).

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

2981904 is a wasteful number, since it uses less digits than its factorization.

2981904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 2981904 is about 1726.8190408957. The cubic root of 2981904 is about 143.9343836855.

The spelling of 2981904 in words is "two million, nine hundred eighty-one thousand, nine hundred four".