2220961536 has 108 divisors (see below), whose sum is σ = 6476127840. Its totient is φ = 731934720.

The previous prime is 2220961507. The next prime is 2220961537. The reversal of 2220961536 is 6351690222.

2220961536 is a `hidden beast` number, since 2 + 2 + 2 + 0 + 9 + 615 + 36 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2220961536.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2220961537) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 199641 + ... + 210471.

Almost surely, 2^2220961536 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 2220961536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3238063920).

2220961536 is an abundant number, since it is smaller than the sum of its proper divisors (4255166304).

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

2220961536 is a wasteful number, since it uses less digits than its factorization.

2220961536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10942 (or 10925 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 2220961536 is about 47127.0785854587. The cubic root of 2220961536 is about 1304.7090627249.

The spelling of 2220961536 in words is "two billion, two hundred twenty million, nine hundred sixty-one thousand, five hundred thirty-six".