2120331330 has 160 divisors (see below), whose sum is σ = 6242444208. Its totient is φ = 513216000.

The previous prime is 2120331313. The next prime is 2120331347. The reversal of 2120331330 is 331330212.

2120331330 is a `hidden beast` number, since 2 + 1 + 2 + 0 + 331 + 330 = 666.

It is an interprime number because it is at equal distance from previous prime (2120331313) and next prime (2120331347).

It can be written as a sum of positive squares in 8 ways, for example, as 7733961 + 2112597369 = 2781^2 + 45963^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 640680 + ... + 643980.

Almost surely, 2^2120331330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2120331330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3121222104).

2120331330 is an abundant number, since it is smaller than the sum of its proper divisors (4122112878).

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

2120331330 is a wasteful number, since it uses less digits than its factorization.

2120331330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3394 (or 3385 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 2120331330 is about 46047.0556061948. The cubic root of 2120331330 is about 1284.6985782840.

Adding to 2120331330 its reverse (331330212), we get a palindrome (2451661542).

The spelling of 2120331330 in words is "two billion, one hundred twenty million, three hundred thirty-one thousand, three hundred thirty".