2780160 has 88 divisors (see below), whose sum is σ = 8941296. Its totient is φ = 737280.

The previous prime is 2780153. The next prime is 2780161. The reversal of 2780160 is 610872.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2780160.

It is not an unprimeable number, because it can be changed into a prime (2780161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15270 + ... + 15450.

2^2780160 is an apocalyptic number.

2780160 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 2780160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4470648).

2780160 is an abundant number, since it is smaller than the sum of its proper divisors (6161136).

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

2780160 is a wasteful number, since it uses less digits than its factorization.

2780160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 2780160 is about 1667.3811801745. The cubic root of 2780160 is about 140.6122842823.

The spelling of 2780160 in words is "two million, seven hundred eighty thousand, one hundred sixty".