2114143120 has 80 divisors (see below), whose sum is σ = 5239954800. Its totient is φ = 790495232.

The previous prime is 2114143081. The next prime is 2114143153. The reversal of 2114143120 is 213414112.

It can be written as a sum of positive squares in 8 ways, for example, as 9535744 + 2104607376 = 3088^2 + 45876^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2114143120² = 8939202263686668800, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 197424 + ... + 207856.

It is an arithmetic number, because the mean of its divisors is an integer number (65499435).

Almost surely, 2^2114143120 is an apocalyptic number.

2114143120 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 2114143120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2619977400).

2114143120 is an abundant number, since it is smaller than the sum of its proper divisors (3125811680).

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

2114143120 is a wasteful number, since it uses less digits than its factorization.

2114143120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10612 (or 10606 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 2114143120 is about 45979.8120918300. The cubic root of 2114143120 is about 1283.4475582069.

Adding to 2114143120 its reverse (213414112), we get a palindrome (2327557232).

It can be divided in two parts, 21141 and 43120, that added together give a triangular number (64261 = T₃₅₈).

The spelling of 2114143120 in words is "two billion, one hundred fourteen million, one hundred forty-three thousand, one hundred twenty".