2211190272 has 240 divisors, whose sum is σ = 7002475920. Its totient is φ = 686555136.

The previous prime is 2211190253. The next prime is 2211190279. The reversal of 2211190272 is 2720911122.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2211190279) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22795728 + ... + 22795824.

It is an arithmetic number, because the mean of its divisors is an integer number (29176983).

Almost surely, 2^2211190272 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 2211190272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3501237960).

2211190272 is an abundant number, since it is smaller than the sum of its proper divisors (4791285648).

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

2211190272 is an frugal number, since it uses more digits than its factorization.

2211190272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 2211190272 is about 47023.2949930138. The cubic root of 2211190272 is about 1302.7928658436.

The spelling of 2211190272 in words is "two billion, two hundred eleven million, one hundred ninety thousand, two hundred seventy-two".