2211144040 has 128 divisors (see below), whose sum is σ = 5774457600. Its totient is φ = 746403840.

The previous prime is 2211144017. The next prime is 2211144059. The reversal of 2211144040 is 404411122.

It is a junction number, because it is equal to n+sod(n) for n = 2211143999 and 2211144017.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7868700 + ... + 7868980.

It is an arithmetic number, because the mean of its divisors is an integer number (45112950).

Almost surely, 2^2211144040 is an apocalyptic number.

2211144040 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 2211144040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2887228800).

2211144040 is an abundant number, since it is smaller than the sum of its proper divisors (3563313560).

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

2211144040 is a wasteful number, since it uses less digits than its factorization.

2211144040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 2211144040 is about 47022.8034043059. The cubic root of 2211144040 is about 1302.7837860973.

Adding to 2211144040 its reverse (404411122), we get a palindrome (2615555162).

The spelling of 2211144040 in words is "two billion, two hundred eleven million, one hundred forty-four thousand, forty".