2220460632 has 192 divisors, whose sum is σ = 6751836000. Its totient is φ = 654538752.

The previous prime is 2220460609. The next prime is 2220460633. The reversal of 2220460632 is 2360640222.

2220460632 is a `hidden beast` number, since 2 + 2 + 20 + 4 + 6 + 0 + 632 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2220460596 and 2220460605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2220460633) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4858548 + ... + 4859004.

Almost surely, 2^2220460632 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 2220460632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3375918000).

2220460632 is an abundant number, since it is smaller than the sum of its proper divisors (4531375368).

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

2220460632 is a wasteful number, since it uses less digits than its factorization.

2220460632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 2220460632 is about 47121.7638888868. The cubic root of 2220460632 is about 1304.6109696069.

The spelling of 2220460632 in words is "two billion, two hundred twenty million, four hundred sixty thousand, six hundred thirty-two".