2120289600 has 336 divisors, whose sum is σ = 8175101760. Its totient is φ = 474316800.

The previous prime is 2120289529. The next prime is 2120289617. The reversal of 2120289600 is 69820212.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 684856 + ... + 687944.

It is an arithmetic number, because the mean of its divisors is an integer number (24330660).

Almost surely, 2^2120289600 is an apocalyptic number.

2120289600 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 2120289600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4087550880).

2120289600 is an abundant number, since it is smaller than the sum of its proper divisors (6054812160).

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

2120289600 is a wasteful number, since it uses less digits than its factorization.

2120289600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3138 (or 3123 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 2120289600 is about 46046.6024805305. The cubic root of 2120289600 is about 1284.6901502265.

The spelling of 2120289600 in words is "two billion, one hundred twenty million, two hundred eighty-nine thousand, six hundred".