2122417440 has 432 divisors, whose sum is σ = 8582576184. Its totient is φ = 474439680.

The previous prime is 2122417373. The next prime is 2122417463. The reversal of 2122417440 is 447142212.

2122417440 is a `hidden beast` number, since 212 + 2 + 4 + 1 + 7 + 440 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 746600976 + 1375816464 = 27324^2 + 37092^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2264652 + ... + 2265588.

Almost surely, 2^2122417440 is an apocalyptic number.

2122417440 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 2122417440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4291288092).

2122417440 is an abundant number, since it is smaller than the sum of its proper divisors (6460158744).

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

2122417440 is a wasteful number, since it uses less digits than its factorization.

2122417440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 993 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 2122417440 is about 46069.7019742911. The cubic root of 2122417440 is about 1285.1197615319.

Adding to 2122417440 its reverse (447142212), we get a palindrome (2569559652).

The spelling of 2122417440 in words is "two billion, one hundred twenty-two million, four hundred seventeen thousand, four hundred forty".