2142120024 has 48 divisors (see below), whose sum is σ = 6328993320. Its totient is φ = 649127040.

The previous prime is 2142120023. The next prime is 2142120067. The reversal of 2142120024 is 4200212412.

2142120024 is a `hidden beast` number, since 21 + 421 + 200 + 24 = 666.

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 = 2142119979 and 2142120006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142120023) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1351557 + ... + 1353140.

Almost surely, 2^2142120024 is an apocalyptic number.

2142120024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2142120024 is an abundant number, since it is smaller than the sum of its proper divisors (4186873296).

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

2142120024 is a wasteful number, since it uses less digits than its factorization.

2142120024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2704720 (or 2704713 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2142120024 is about 46283.0425101894. The cubic root of 2142120024 is about 1289.0841453141.

Adding to 2142120024 its reverse (4200212412), we get a palindrome (6342332436).

The spelling of 2142120024 in words is "two billion, one hundred forty-two million, one hundred twenty thousand, twenty-four".