2093829120 has 132 divisors (see below), whose sum is σ = 7255223040. Its totient is φ = 558342144.

The previous prime is 2093829109. The next prime is 2093829137. The reversal of 2093829120 is 219283902.

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

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 11 ways as a sum of consecutive naturals, for example, 23361 + ... + 68799.

Almost surely, 2^2093829120 is an apocalyptic number.

2093829120 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 2093829120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3627611520).

2093829120 is an abundant number, since it is smaller than the sum of its proper divisors (5161393920).

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

2093829120 is a wasteful number, since it uses less digits than its factorization.

2093829120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45470 (or 45449 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 2093829120 is about 45758.3775936167. The cubic root of 2093829120 is about 1279.3236009622.

The spelling of 2093829120 in words is "two billion, ninety-three million, eight hundred twenty-nine thousand, one hundred twenty".