2996784 has 80 divisors (see below), whose sum is σ = 9840640. Its totient is φ = 855360.

The previous prime is 2996783. The next prime is 2996789. The reversal of 2996784 is 4876992.

It is a happy number.

2996784 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (2996783) 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, 2529 + ... + 3519.

It is an arithmetic number, because the mean of its divisors is an integer number (123008).

2^2996784 is an apocalyptic number.

2996784 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 2996784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4920320).

2996784 is an abundant number, since it is smaller than the sum of its proper divisors (6843856).

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

2996784 is a wasteful number, since it uses less digits than its factorization.

2996784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1015 (or 1003 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 2996784 is about 1731.1221793969. The cubic root of 2996784 is about 144.1734022195.

The spelling of 2996784 in words is "two million, nine hundred ninety-six thousand, seven hundred eighty-four".