2780384 has 48 divisors (see below), whose sum is σ = 6123600. Its totient is φ = 1234944.

The previous prime is 2780369. The next prime is 2780399. The reversal of 2780384 is 4830872.

2780384 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2780369) and next prime (2780399).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 2780384.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10202 + ... + 10470.

It is an arithmetic number, because the mean of its divisors is an integer number (127575).

2^2780384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2780384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3061800).

2780384 is an abundant number, since it is smaller than the sum of its proper divisors (3343216).

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

2780384 is a wasteful number, since it uses less digits than its factorization.

2780384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 2780384 is about 1667.4483500247. The cubic root of 2780384 is about 140.6160606005.

The spelling of 2780384 in words is "two million, seven hundred eighty thousand, three hundred eighty-four".