2211882240 has 288 divisors, whose sum is σ = 7728086016. Its totient is φ = 536739840.

The previous prime is 2211882199. The next prime is 2211882247. The reversal of 2211882240 is 422881122.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2211882198 and 2211882207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2211882247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2023134 + ... + 2024226.

It is an arithmetic number, because the mean of its divisors is an integer number (26833632).

Almost surely, 2^2211882240 is an apocalyptic number.

2211882240 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 2211882240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3864043008).

2211882240 is an abundant number, since it is smaller than the sum of its proper divisors (5516203776).

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

2211882240 is a wasteful number, since it uses less digits than its factorization.

2211882240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1165 (or 1151 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 2211882240 is about 47030.6521324125. The cubic root of 2211882240 is about 1302.9287499666.

It can be divided in two parts, 2211882 and 240, that added together give a palindrome (2212122).

The spelling of 2211882240 in words is "two billion, two hundred eleven million, eight hundred eighty-two thousand, two hundred forty".