2662632 has 80 divisors (see below), whose sum is σ = 8537760. Its totient is φ = 759456.

The previous prime is 2662607. The next prime is 2662651. The reversal of 2662632 is 2362662.

It is a happy number.

2662632 is a `hidden beast` number, since 2 + 6 + 626 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2662596 and 2662605.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4243 + ... + 4829.

It is an arithmetic number, because the mean of its divisors is an integer number (106722).

2^2662632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2662632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4268880).

2662632 is an abundant number, since it is smaller than the sum of its proper divisors (5875128).

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

2662632 is a wasteful number, since it uses less digits than its factorization.

2662632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612 (or 599 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 2662632 is about 1631.7573349000. The cubic root of 2662632 is about 138.6022825283.

The spelling of 2662632 in words is "two million, six hundred sixty-two thousand, six hundred thirty-two".