2780460 has 96 divisors (see below), whose sum is σ = 9139200. Its totient is φ = 699840.

The previous prime is 2780443. The next prime is 2780467. The reversal of 2780460 is 640872.

2780460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2780467) 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 31 ways as a sum of consecutive naturals, for example, 10125 + ... + 10395.

It is an arithmetic number, because the mean of its divisors is an integer number (95200).

2^2780460 is an apocalyptic number.

2780460 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 2780460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4569600).

2780460 is an abundant number, since it is smaller than the sum of its proper divisors (6358740).

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

2780460 is a wasteful number, since it uses less digits than its factorization.

2780460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2780460 is about 1667.4711391805. The cubic root of 2780460 is about 140.6173418052.

Subtracting from 2780460 its product of nonzero digits (2688), we obtain a palindrome (2777772).

It can be divided in two parts, 2780 and 460, that added together give a triangular number (3240 = T₈₀).

The spelling of 2780460 in words is "two million, seven hundred eighty thousand, four hundred sixty".