2778880 has 72 divisors (see below), whose sum is σ = 7211232. Its totient is φ = 1019904.

The previous prime is 2778877. The next prime is 2778901. The reversal of 2778880 is 888772.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16557 + ... + 16723.

It is an arithmetic number, because the mean of its divisors is an integer number (100156).

2^2778880 is an apocalyptic number.

2778880 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 2778880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3605616).

2778880 is an abundant number, since it is smaller than the sum of its proper divisors (4432352).

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

2778880 is a wasteful number, since it uses less digits than its factorization.

2778880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 40.

The square root of 2778880 is about 1666.9973005377. The cubic root of 2778880 is about 140.5907014295.

The spelling of 2778880 in words is "two million, seven hundred seventy-eight thousand, eight hundred eighty".