2783880 has 192 divisors, whose sum is σ = 10670400. Its totient is φ = 622080.

The previous prime is 2783873. The next prime is 2783887. The reversal of 2783880 is 883872.

2783880 is a `hidden beast` number, since 278 + 388 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2783873) and next prime (2783887).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2783887) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75222 + ... + 75258.

It is an arithmetic number, because the mean of its divisors is an integer number (55575).

2^2783880 is an apocalyptic number.

2783880 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 2783880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5335200).

2783880 is an abundant number, since it is smaller than the sum of its proper divisors (7886520).

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

2783880 is a wasteful number, since it uses less digits than its factorization.

2783880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 2783880 is about 1668.4963290340. The cubic root of 2783880 is about 140.6749718697.

It can be divided in two parts, 2783 and 880, that added together give a palindrome (3663).

The spelling of 2783880 in words is "two million, seven hundred eighty-three thousand, eight hundred eighty".