2776680 has 80 divisors (see below), whose sum is σ = 9343620. Its totient is φ = 739584.

The previous prime is 2776673. The next prime is 2776687. The reversal of 2776680 is 866772.

2776680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2776673) and next prime (2776687).

It can be written as a sum of positive squares in 2 ways, for example, as 2683044 + 93636 = 1638^2 + 306^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2776687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2812 + ... + 3668.

2^2776680 is an apocalyptic number.

2776680 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 2776680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4671810).

2776680 is an abundant number, since it is smaller than the sum of its proper divisors (6566940).

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

2776680 is a wasteful number, since it uses less digits than its factorization.

2776680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 2776680 is about 1666.3373007888. The cubic root of 2776680 is about 140.5535904109.

The spelling of 2776680 in words is "two million, seven hundred seventy-six thousand, six hundred eighty".