2768220 has 144 divisors (see below), whose sum is σ = 10395840. Its totient is φ = 584064.

The previous prime is 2768209. The next prime is 2768231. The reversal of 2768220 is 228672.

It is an interprime number because it is at equal distance from previous prime (2768209) and next prime (2768231).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 212934 + ... + 212946.

2^2768220 is an apocalyptic number.

2768220 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 2768220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5197920).

2768220 is an abundant number, since it is smaller than the sum of its proper divisors (7627620).

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

2768220 is a wasteful number, since it uses less digits than its factorization.

2768220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2768220 is about 1663.7968626007. The cubic root of 2768220 is about 140.4106987732.

The spelling of 2768220 in words is "two million, seven hundred sixty-eight thousand, two hundred twenty".