2782920 has 64 divisors (see below), whose sum is σ = 9544320. Its totient is φ = 635904.

The previous prime is 2782903. The next prime is 2782921. The reversal of 2782920 is 292872.

2782920 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 (30).

It is not an unprimeable number, because it can be changed into a prime (2782921) 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, 817 + ... + 2496.

It is an arithmetic number, because the mean of its divisors is an integer number (149130).

2^2782920 is an apocalyptic number.

2782920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2782920 is an abundant number, since it is smaller than the sum of its proper divisors (6761400).

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

2782920 is a wasteful number, since it uses less digits than its factorization.

2782920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3334 (or 3330 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 2782920 is about 1668.2086200473. The cubic root of 2782920 is about 140.6587997767.

The spelling of 2782920 in words is "two million, seven hundred eighty-two thousand, nine hundred twenty".