2780900 has 18 divisors (see below), whose sum is σ = 6034770. Its totient is φ = 1112320.

The previous prime is 2780891. The next prime is 2780909. The reversal of 2780900 is 90872.

It is an interprime number because it is at equal distance from previous prime (2780891) and next prime (2780909).

It can be written as a sum of positive squares in 3 ways, for example, as 341056 + 2439844 = 584^2 + 1562^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2780900.

It is not an unprimeable number, because it can be changed into a prime (2780909) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13805 + ... + 14004.

It is an arithmetic number, because the mean of its divisors is an integer number (335265).

2^2780900 is an apocalyptic number.

2780900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2780900 is an abundant number, since it is smaller than the sum of its proper divisors (3253870).

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

2780900 is a wasteful number, since it uses less digits than its factorization.

2780900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27823 (or 27816 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 2780900 is about 1667.6030702778. The cubic root of 2780900 is about 140.6247588473.

The spelling of 2780900 in words is "two million, seven hundred eighty thousand, nine hundred".