2129401120 has 192 divisors, whose sum is σ = 6303661056. Its totient is φ = 660372480.

The previous prime is 2129401103. The next prime is 2129401123. The reversal of 2129401120 is 211049212.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 2129401091 and 2129401100.

It is not an unprimeable number, because it can be changed into a prime (2129401123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3781959 + ... + 3782521.

It is an arithmetic number, because the mean of its divisors is an integer number (32831568).

Almost surely, 2^2129401120 is an apocalyptic number.

2129401120 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 2129401120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3151830528).

2129401120 is an abundant number, since it is smaller than the sum of its proper divisors (4174259936).

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

2129401120 is a wasteful number, since it uses less digits than its factorization.

2129401120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 903 (or 895 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 2129401120 is about 46145.4344437237. The cubic root of 2129401120 is about 1286.5277533845.

The spelling of 2129401120 in words is "two billion, one hundred twenty-nine million, four hundred one thousand, one hundred twenty".