2122789760 has 384 divisors, whose sum is σ = 6563773440. Its totient is φ = 650280960.

The previous prime is 2122789751. The next prime is 2122789769. The reversal of 2122789760 is 679872212.

It is an interprime number because it is at equal distance from previous prime (2122789751) and next prime (2122789769).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122789769) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16714817 + ... + 16714943.

It is an arithmetic number, because the mean of its divisors is an integer number (17093160).

Almost surely, 2^2122789760 is an apocalyptic number.

2122789760 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 2122789760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3281886720).

2122789760 is an abundant number, since it is smaller than the sum of its proper divisors (4440983680).

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

2122789760 is a wasteful number, since it uses less digits than its factorization.

2122789760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 44.

The square root of 2122789760 is about 46073.7426307002. The cubic root of 2122789760 is about 1285.1949034911.

The spelling of 2122789760 in words is "two billion, one hundred twenty-two million, seven hundred eighty-nine thousand, seven hundred sixty".