2211115440 has 160 divisors (see below), whose sum is σ = 7123204800. Its totient is φ = 566702080.

The previous prime is 2211115433. The next prime is 2211115453. The reversal of 2211115440 is 445111122.

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, 1871650 + ... + 1872830.

It is an arithmetic number, because the mean of its divisors is an integer number (44520030).

Almost surely, 2^2211115440 is an apocalyptic number.

2211115440 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 2211115440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3561602400).

2211115440 is an abundant number, since it is smaller than the sum of its proper divisors (4912089360).

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

2211115440 is a wasteful number, since it uses less digits than its factorization.

2211115440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1495 (or 1489 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 2211115440 is about 47022.4992955500. The cubic root of 2211115440 is about 1302.7781691292.

Adding to 2211115440 its reverse (445111122), we get a palindrome (2656226562).

The spelling of 2211115440 in words is "two billion, two hundred eleven million, one hundred fifteen thousand, four hundred forty".