2766632 has 32 divisors (see below), whose sum is σ = 5724000. Its totient is φ = 1243200.

The previous prime is 2766623. The next prime is 2766637. The reversal of 2766632 is 2366672.

It is a d-powerful number, because it can be written as 2¹⁷ + 7⁷ + 6 + 6⁴ + 6⁸ + 3³ + 2¹⁷ .

It is not an unprimeable number, because it can be changed into a prime (2766637) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13007 + ... + 13217.

It is an arithmetic number, because the mean of its divisors is an integer number (178875).

2^2766632 is an apocalyptic number.

2766632 is a gapful number since it is divisible by the number (22) 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 2766632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2862000).

2766632 is an abundant number, since it is smaller than the sum of its proper divisors (2957368).

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

2766632 is a wasteful number, since it uses less digits than its factorization.

2766632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 373 counting only the distinct ones).

The product of its digits is 18144, while the sum is 32.

The square root of 2766632 is about 1663.3195724214. The cubic root of 2766632 is about 140.3838445926.

The spelling of 2766632 in words is "two million, seven hundred sixty-six thousand, six hundred thirty-two".