2931984 has 80 divisors (see below), whose sum is σ = 9195840. Its totient is φ = 887040.

The previous prime is 2931983. The next prime is 2931997. The reversal of 2931984 is 4891392.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (2931983) 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, 4444 + ... + 5060.

It is an arithmetic number, because the mean of its divisors is an integer number (114948).

2^2931984 is an apocalyptic number.

2931984 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 2931984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4597920).

2931984 is an abundant number, since it is smaller than the sum of its proper divisors (6263856).

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

2931984 is a wasteful number, since it uses less digits than its factorization.

2931984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 633 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 2931984 is about 1712.3037113783. The cubic root of 2931984 is about 143.1266584478.

It can be divided in two parts, 29319 and 84, that added together give a triangular number (29403 = T₂₄₂).

The spelling of 2931984 in words is "two million, nine hundred thirty-one thousand, nine hundred eighty-four".