2782080 has 256 divisors, whose sum is σ = 11750400. Its totient is φ = 608256.

The previous prime is 2782069. The next prime is 2782081. The reversal of 2782080 is 802872.

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

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 (2782081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120949 + ... + 120971.

It is an arithmetic number, because the mean of its divisors is an integer number (45900).

2^2782080 is an apocalyptic number.

2782080 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 2782080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5875200).

2782080 is an abundant number, since it is smaller than the sum of its proper divisors (8968320).

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

2782080 is a wasteful number, since it uses less digits than its factorization.

2782080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 2782080 is about 1667.9568339738. The cubic root of 2782080 is about 140.6446461441.

Adding to 2782080 its product of nonzero digits (1792), we get a palindrome (2783872).

The spelling of 2782080 in words is "two million, seven hundred eighty-two thousand, eighty".