2120240000 has 160 divisors (see below), whose sum is σ = 5592272400. Its totient is φ = 797696000.

The previous prime is 2120239997. The next prime is 2120240033. The reversal of 2120240000 is 420212.

It is a tau number, because it is divible by the number of its divisors (160).

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 19 ways as a sum of consecutive naturals, for example, 1359221 + ... + 1360779.

Almost surely, 2^2120240000 is an apocalyptic number.

2120240000 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 2120240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2796136200).

2120240000 is an abundant number, since it is smaller than the sum of its proper divisors (3472032400).

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

2120240000 is an equidigital number, since it uses as much as digits as its factorization.

2120240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1610 (or 1583 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 2120240000 is about 46046.0638925848. The cubic root of 2120240000 is about 1284.6801325496.

Adding to 2120240000 its reverse (420212), we get a palindrome (2120660212).

The spelling of 2120240000 in words is "two billion, one hundred twenty million, two hundred forty thousand".