2141007120 has 160 divisors (see below), whose sum is σ = 8428151040. Its totient is φ = 489369600.

The previous prime is 2141007101. The next prime is 2141007181. The reversal of 2141007120 is 217001412.

It is a super-2 number, since 2×2141007120² = 9167822975781388800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2141007093 and 2141007102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55681 + ... + 85920.

It is an arithmetic number, because the mean of its divisors is an integer number (52675944).

Almost surely, 2^2141007120 is an apocalyptic number.

2141007120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2141007120 is an abundant number, since it is smaller than the sum of its proper divisors (6287143920).

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

2141007120 is a wasteful number, since it uses less digits than its factorization.

2141007120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141630 (or 141618 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 2141007120 is about 46271.0181431098. The cubic root of 2141007120 is about 1288.8608656654.

Adding to 2141007120 its reverse (217001412), we get a palindrome (2358008532).

The spelling of 2141007120 in words is "two billion, one hundred forty-one million, seven thousand, one hundred twenty".