2778160 has 120 divisors (see below), whose sum is σ = 8311968. Its totient is φ = 844800.

The previous prime is 2778151. The next prime is 2778173. The reversal of 2778160 is 618772.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67740 + ... + 67780.

2^2778160 is an apocalyptic number.

2778160 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 2778160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4155984).

2778160 is an abundant number, since it is smaller than the sum of its proper divisors (5533808).

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

2778160 is a wasteful number, since it uses less digits than its factorization.

2778160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 31.

The square root of 2778160 is about 1666.7813293891. The cubic root of 2778160 is about 140.5785581621.

It can be divided in two parts, 27 and 78160, that added together give a palindrome (78187).

The spelling of 2778160 in words is "two million, seven hundred seventy-eight thousand, one hundred sixty".