2120032420 has 96 divisors (see below), whose sum is σ = 4975883136. Its totient is φ = 752256000.

The previous prime is 2120032403. The next prime is 2120032457. The reversal of 2120032420 is 242300212.

It is a junction number, because it is equal to n+sod(n) for n = 2120032394 and 2120032403.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1621407 + ... + 1622713.

It is an arithmetic number, because the mean of its divisors is an integer number (51832116).

Almost surely, 2^2120032420 is an apocalyptic number.

2120032420 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 2120032420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2487941568).

2120032420 is an abundant number, since it is smaller than the sum of its proper divisors (2855850716).

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

2120032420 is a wasteful number, since it uses less digits than its factorization.

2120032420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1501 (or 1499 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 2120032420 is about 46043.8097902422. The cubic root of 2120032420 is about 1284.6382060688.

Adding to 2120032420 its reverse (242300212), we get a palindrome (2362332632).

The spelling of 2120032420 in words is "two billion, one hundred twenty million, thirty-two thousand, four hundred twenty".