2206100072 has 48 divisors (see below), whose sum is σ = 4610844000. Its totient is φ = 988618400.

The previous prime is 2206100021. The next prime is 2206100087. The reversal of 2206100072 is 2700016022.

2206100072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52679 + ... + 84777.

It is an arithmetic number, because the mean of its divisors is an integer number (96059250).

Almost surely, 2^2206100072 is an apocalyptic number.

2206100072 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 2206100072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2305422000).

2206100072 is an abundant number, since it is smaller than the sum of its proper divisors (2404743928).

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

2206100072 is a wasteful number, since it uses less digits than its factorization.

2206100072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32198 (or 32183 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 2206100072 is about 46969.1395705734. The cubic root of 2206100072 is about 1301.7924135170.

Adding to 2206100072 its reverse (2700016022), we get a palindrome (4906116094).

The spelling of 2206100072 in words is "two billion, two hundred six million, one hundred thousand, seventy-two".