2784040 has 64 divisors (see below), whose sum is σ = 7320960. Its totient is φ = 933120.

The previous prime is 2784007. The next prime is 2784043. The reversal of 2784040 is 404872.

2784040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2783996 and 2784014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2784043) 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, 16999 + ... + 17161.

It is an arithmetic number, because the mean of its divisors is an integer number (114390).

2^2784040 is an apocalyptic number.

2784040 is a gapful number since it is divisible by the number (20) 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 2784040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3660480).

2784040 is an abundant number, since it is smaller than the sum of its proper divisors (4536920).

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

2784040 is a wasteful number, since it uses less digits than its factorization.

2784040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 25.

The square root of 2784040 is about 1668.5442757086. The cubic root of 2784040 is about 140.6776668571.

The spelling of 2784040 in words is "two million, seven hundred eighty-four thousand, forty".