2120020352 has 128 divisors (see below), whose sum is σ = 4507747200. Its totient is φ = 992010240.

The previous prime is 2120020349. The next prime is 2120020363. The reversal of 2120020352 is 2530200212.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 2120020352.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19449674 + ... + 19449782.

It is an arithmetic number, because the mean of its divisors is an integer number (35216775).

Almost surely, 2^2120020352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2120020352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2253873600).

2120020352 is an abundant number, since it is smaller than the sum of its proper divisors (2387726848).

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

2120020352 is a wasteful number, since it uses less digits than its factorization.

2120020352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 2120020352 is about 46043.6787409521. The cubic root of 2120020352 is about 1284.6357685206.

Adding to 2120020352 its reverse (2530200212), we get a palindrome (4650220564).

The spelling of 2120020352 in words is "two billion, one hundred twenty million, twenty thousand, three hundred fifty-two".