2122813440 has 416 divisors, whose sum is σ = 8256528000. Its totient is φ = 513146880.

The previous prime is 2122813439. The next prime is 2122813507. The reversal of 2122813440 is 443182212.

2122813440 is a `hidden beast` number, since 212 + 2 + 8 + 1 + 3 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 6082386 + ... + 6082734.

Almost surely, 2^2122813440 is an apocalyptic number.

2122813440 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 2122813440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4128264000).

2122813440 is an abundant number, since it is smaller than the sum of its proper divisors (6133714560).

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

2122813440 is a wasteful number, since it uses less digits than its factorization.

2122813440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 2122813440 is about 46073.9996093241. Note that the first 3 decimals coincide. The cubic root of 2122813440 is about 1285.1996823129.

Adding to 2122813440 its reverse (443182212), we get a palindrome (2565995652).

The spelling of 2122813440 in words is "two billion, one hundred twenty-two million, eight hundred thirteen thousand, four hundred forty".