2972784 has 20 divisors (see below), whose sum is σ = 7679816. Its totient is φ = 990912.

The previous prime is 2972777. The next prime is 2972789. The reversal of 2972784 is 4872792.

2972784 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2972789) 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 3 ways as a sum of consecutive naturals, for example, 30919 + ... + 31014.

2^2972784 is an apocalyptic number.

2972784 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2972784 is an abundant number, since it is smaller than the sum of its proper divisors (4707032).

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

2972784 is a wasteful number, since it uses less digits than its factorization.

2972784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61944 (or 61938 counting only the distinct ones).

The product of its digits is 56448, while the sum is 39.

The square root of 2972784 is about 1724.1763250898. The cubic root of 2972784 is about 143.7874951970.

It can be divided in two parts, 297 and 2784, that added together give a triangular number (3081 = T₇₈).

The spelling of 2972784 in words is "two million, nine hundred seventy-two thousand, seven hundred eighty-four".