2102220032 has 72 divisors (see below), whose sum is σ = 4655659680. Its totient is φ = 939284480.

The previous prime is 2102220031. The next prime is 2102220047. The reversal of 2102220032 is 2300222012.

It is a junction number, because it is equal to n+sod(n) for n = 2102219989 and 2102220016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102220031) 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, 159818 + ... + 172470.

It is an arithmetic number, because the mean of its divisors is an integer number (64661940).

Almost surely, 2^2102220032 is an apocalyptic number.

2102220032 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 2102220032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2327829840).

2102220032 is an abundant number, since it is smaller than the sum of its proper divisors (2553439648).

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

2102220032 is a wasteful number, since it uses less digits than its factorization.

2102220032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12739 (or 12725 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 2102220032 is about 45849.9730861426. The cubic root of 2102220032 is about 1281.0302642740.

Adding to 2102220032 its reverse (2300222012), we get a palindrome (4402442044).

The spelling of 2102220032 in words is "two billion, one hundred two million, two hundred twenty thousand, thirty-two".