2120002320 has 160 divisors (see below), whose sum is σ = 6792065280. Its totient is φ = 546600960.

The previous prime is 2120002319. The next prime is 2120002321. The reversal of 2120002320 is 232000212.

2120002320 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2120002319) and next prime (2120002321).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2120002296 and 2120002305.

It is not an unprimeable number, because it can be changed into a prime (2120002321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1606621 + ... + 1607939.

It is an arithmetic number, because the mean of its divisors is an integer number (42450408).

Almost surely, 2^2120002320 is an apocalyptic number.

2120002320 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 2120002320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3396032640).

2120002320 is an abundant number, since it is smaller than the sum of its proper divisors (4672062960).

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

2120002320 is a wasteful number, since it uses less digits than its factorization.

2120002320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1553 (or 1547 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2120002320 is about 46043.4829264685. The cubic root of 2120002320 is about 1284.6321263201.

Adding to 2120002320 its reverse (232000212), we get a palindrome (2352002532).

The spelling of 2120002320 in words is "two billion, one hundred twenty million, two thousand, three hundred twenty".