2122089840 has 360 divisors, whose sum is σ = 7995300768. Its totient is φ = 520680960.

The previous prime is 2122089833. The next prime is 2122089869. The reversal of 2122089840 is 489802212.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2122089795 and 2122089804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6823285 + ... + 6823595.

Almost surely, 2^2122089840 is an apocalyptic number.

2122089840 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 2122089840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3997650384).

2122089840 is an abundant number, since it is smaller than the sum of its proper divisors (5873210928).

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

2122089840 is an equidigital number, since it uses as much as digits as its factorization.

2122089840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 2122089840 is about 46066.1463549970. The cubic root of 2122089840 is about 1285.0536377354.

The spelling of 2122089840 in words is "two billion, one hundred twenty-two million, eighty-nine thousand, eight hundred forty".