2124021420 has 144 divisors (see below), whose sum is σ = 6829774560. Its totient is φ = 548000640.

The previous prime is 2124021379. The next prime is 2124021433. The reversal of 2124021420 is 241204212.

2124021420 is a `hidden beast` number, since 2 + 1 + 240 + 2 + 1 + 420 = 666.

It is a super-2 number, since 2×2124021420² = 9022933985237632800, 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 = 2124021393 and 2124021402.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 516894 + ... + 520986.

It is an arithmetic number, because the mean of its divisors is an integer number (47428990).

Almost surely, 2^2124021420 is an apocalyptic number.

2124021420 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 2124021420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3414887280).

2124021420 is an abundant number, since it is smaller than the sum of its proper divisors (4705753140).

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

2124021420 is a wasteful number, since it uses less digits than its factorization.

2124021420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4173 (or 4134 counting only the distinct ones).

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

The square root of 2124021420 is about 46087.1068738319. The cubic root of 2124021420 is about 1285.4434156364.

Adding to 2124021420 its reverse (241204212), we get a palindrome (2365225632).

The spelling of 2124021420 in words is "two billion, one hundred twenty-four million, twenty-one thousand, four hundred twenty".