2120313600 has 324 divisors, whose sum is σ = 7665649992. Its totient is φ = 559104000.

The previous prime is 2120313599. The next prime is 2120313619. The reversal of 2120313600 is 63130212.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7545460 + ... + 7545740.

Almost surely, 2^2120313600 is an apocalyptic number.

2120313600 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 2120313600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3832824996).

2120313600 is an abundant number, since it is smaller than the sum of its proper divisors (5545336392).

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

2120313600 is a wasteful number, since it uses less digits than its factorization.

2120313600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2120313600 is about 46046.8630853395. The cubic root of 2120313600 is about 1284.6949974334.

Adding to 2120313600 its reverse (63130212), we get a palindrome (2183443812).

The spelling of 2120313600 in words is "two billion, one hundred twenty million, three hundred thirteen thousand, six hundred".