2782720 has 40 divisors (see below), whose sum is σ = 6678144. Its totient is φ = 1112064.

The previous prime is 2782709. The next prime is 2782723. The reversal of 2782720 is 272872.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2782723) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2017 + ... + 3103.

2^2782720 is an apocalyptic number.

2782720 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 2782720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3339072).

2782720 is an abundant number, since it is smaller than the sum of its proper divisors (3895424).

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

2782720 is an equidigital number, since it uses as much as digits as its factorization.

2782720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1110 (or 1094 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 28.

The square root of 2782720 is about 1668.1486744292. The cubic root of 2782720 is about 140.6554301225.

The spelling of 2782720 in words is "two million, seven hundred eighty-two thousand, seven hundred twenty".