2642663232 has 280 divisors, whose sum is σ = 8638958592. Its totient is φ = 798716160.

The previous prime is 2642663189. The next prime is 2642663237. The reversal of 2642663232 is 2323662462.

2642663232 is a `hidden beast` number, since 2 + 642 + 6 + 6 + 3 + 2 + 3 + 2 = 666.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2642663237) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6899713 + ... + 6900095.

Almost surely, 2^2642663232 is an apocalyptic number.

2642663232 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 2642663232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4319479296).

2642663232 is an abundant number, since it is smaller than the sum of its proper divisors (5996295360).

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

2642663232 is an equidigital number, since it uses as much as digits as its factorization.

2642663232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 399 counting only the distinct ones).

The product of its digits is 124416, while the sum is 36.

The square root of 2642663232 is about 51406.8403230543. The cubic root of 2642663232 is about 1382.5492388071.

The spelling of 2642663232 in words is "two billion, six hundred forty-two million, six hundred sixty-three thousand, two hundred thirty-two".