2766036 has 96 divisors (see below), whose sum is σ = 8467200. Its totient is φ = 681984.

The previous prime is 2766013. The next prime is 2766059. The reversal of 2766036 is 6306672.

It is an interprime number because it is at equal distance from previous prime (2766013) and next prime (2766059).

It is a junction number, because it is equal to n+sod(n) for n = 2765994 and 2766012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18490 + ... + 18638.

It is an arithmetic number, because the mean of its divisors is an integer number (88200).

2^2766036 is an apocalyptic number.

2766036 is a gapful number since it is divisible by the number (26) 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 2766036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4233600).

2766036 is an abundant number, since it is smaller than the sum of its proper divisors (5701164).

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

2766036 is a wasteful number, since it uses less digits than its factorization.

2766036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 2766036 is about 1663.1404029726. The cubic root of 2766036 is about 140.3737631674.

The spelling of 2766036 in words is "two million, seven hundred sixty-six thousand, thirty-six".