2123009280 has 324 divisors, whose sum is σ = 8546910372. Its totient is φ = 485130240.

The previous prime is 2123009263. The next prime is 2123009299. The reversal of 2123009280 is 829003212.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 854509824 + 1268499456 = 29232^2 + 35616^2 .

It is a super-2 number, since 2×2123009280² = 9014336805932236800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 562600 + ... + 566360.

It is an arithmetic number, because the mean of its divisors is an integer number (26379353).

Almost surely, 2^2123009280 is an apocalyptic number.

2123009280 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 2123009280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4273455186).

2123009280 is an abundant number, since it is smaller than the sum of its proper divisors (6423901092).

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

2123009280 is a wasteful number, since it uses less digits than its factorization.

2123009280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3802 (or 3778 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2123009280 is about 46076.1248370563. The cubic root of 2123009280 is about 1285.2392030988.

The spelling of 2123009280 in words is "two billion, one hundred twenty-three million, nine thousand, two hundred eighty".