2211134040 has 96 divisors (see below), whose sum is σ = 7199740080. Its totient is φ = 588523776.

The previous prime is 2211134033. The next prime is 2211134041. The reversal of 2211134040 is 404311122.

It is a super-2 number, since 2×2211134040² = 9778227485693443200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2211134041) 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, 195007 + ... + 206033.

Almost surely, 2^2211134040 is an apocalyptic number.

2211134040 is a gapful number since it is divisible by the number (20) 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 2211134040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3599870040).

2211134040 is an abundant number, since it is smaller than the sum of its proper divisors (4988606040).

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

2211134040 is a wasteful number, since it uses less digits than its factorization.

2211134040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11601 (or 11594 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2211134040 is about 47022.6970727967. The cubic root of 2211134040 is about 1302.7818221280.

Adding to 2211134040 its reverse (404311122), we get a palindrome (2615445162).

The spelling of 2211134040 in words is "two billion, two hundred eleven million, one hundred thirty-four thousand, forty".