2212034440 has 128 divisors (see below), whose sum is σ = 6332256000. Its totient is φ = 689418240.

The previous prime is 2212034437. The next prime is 2212034443. The reversal of 2212034440 is 444302122.

It is a happy number.

2212034440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2212034437) and next prime (2212034443).

It is a super-2 number, since 2×2212034440² = 9786192727492227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

2212034440 is a modest number, since divided by 34440 gives 22120 as remainder.

It is not an unprimeable number, because it can be changed into a prime (2212034443) 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, 143592 + ... + 158248.

It is an arithmetic number, because the mean of its divisors is an integer number (49470750).

Almost surely, 2^2212034440 is an apocalyptic number.

2212034440 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 2212034440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3166128000).

2212034440 is an abundant number, since it is smaller than the sum of its proper divisors (4120221560).

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

2212034440 is a wasteful number, since it uses less digits than its factorization.

2212034440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14700 (or 14682 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 2212034440 is about 47032.2701982373. The cubic root of 2212034440 is about 1302.9586341988.

Adding to 2212034440 its reverse (444302122), we get a palindrome (2656336562).

The spelling of 2212034440 in words is "two billion, two hundred twelve million, thirty-four thousand, four hundred forty".