2981936 has 40 divisors (see below), whose sum is σ = 6450480. Its totient is φ = 1327104.

The previous prime is 2981933. The next prime is 2981947. The reversal of 2981936 is 6391892.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a self number, because there is not a number n which added to its sum of digits gives 2981936.

It is not an unprimeable number, because it can be changed into a prime (2981933) 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, 4880 + ... + 5456.

It is an arithmetic number, because the mean of its divisors is an integer number (161262).

2^2981936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2981936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3225240).

2981936 is an abundant number, since it is smaller than the sum of its proper divisors (3468544).

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

2981936 is a wasteful number, since it uses less digits than its factorization.

2981936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621 (or 615 counting only the distinct ones).

The product of its digits is 23328, while the sum is 38.

The square root of 2981936 is about 1726.8283064625. The cubic root of 2981936 is about 143.9348985560.

The spelling of 2981936 in words is "two million, nine hundred eighty-one thousand, nine hundred thirty-six".