2120784 has 80 divisors (see below), whose sum is σ = 6106752. Its totient is φ = 630784.

The previous prime is 2120779. The next prime is 2120819. The reversal of 2120784 is 4870212.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 18712 + ... + 18824.

2^2120784 is an apocalyptic number.

2120784 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 2120784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3053376).

2120784 is an abundant number, since it is smaller than the sum of its proper divisors (3985968).

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

2120784 is a wasteful number, since it uses less digits than its factorization.

2120784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 2120784 is about 1456.2911796753. The cubic root of 2120784 is about 128.4789995306.

Adding to 2120784 its reverse (4870212), we get a palindrome (6990996).

It can be divided in two parts, 2 and 120784, that added together give a triangular number (120786 = T₄₉₁).

The spelling of 2120784 in words is "two million, one hundred twenty thousand, seven hundred eighty-four".