2122315440 has 240 divisors, whose sum is σ = 7694507520. Its totient is φ = 482496000.

The previous prime is 2122315367. The next prime is 2122315451. The reversal of 2122315440 is 445132212.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2122315440.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2951401 + ... + 2952119.

It is an arithmetic number, because the mean of its divisors is an integer number (32060448).

Almost surely, 2^2122315440 is an apocalyptic number.

2122315440 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 2122315440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3847253760).

2122315440 is an abundant number, since it is smaller than the sum of its proper divisors (5572192080).

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

2122315440 is a wasteful number, since it uses less digits than its factorization.

2122315440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 2122315440 is about 46068.5949427590. The cubic root of 2122315440 is about 1285.0991742662.

Adding to 2122315440 its reverse (445132212), we get a palindrome (2567447652).

It can be divided in two parts, 21223 and 15440, that added together give a palindrome (36663).

The spelling of 2122315440 in words is "two billion, one hundred twenty-two million, three hundred fifteen thousand, four hundred forty".