2782140 has 48 divisors (see below), whose sum is σ = 7892640. Its totient is φ = 732160.

The previous prime is 2782139. The next prime is 2782147. The reversal of 2782140 is 412872.

It is a self number, because there is not a number n which added to its sum of digits gives 2782140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2782147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5080 + ... + 5600.

It is an arithmetic number, because the mean of its divisors is an integer number (164430).

2^2782140 is an apocalyptic number.

2782140 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 2782140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3946320).

2782140 is an abundant number, since it is smaller than the sum of its proper divisors (5110500).

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

2782140 is a wasteful number, since it uses less digits than its factorization.

2782140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 2782140 is about 1667.9748199538. The cubic root of 2782140 is about 140.6456572123.

The spelling of 2782140 in words is "two million, seven hundred eighty-two thousand, one hundred forty".