2142720000 has 520 divisors, whose sum is σ = 8188378880. Its totient is φ = 552960000.

The previous prime is 2142719921. The next prime is 2142720023. The reversal of 2142720000 is 272412.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 69119985 + ... + 69120015.

Almost surely, 2^2142720000 is an apocalyptic number.

2142720000 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 2142720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4094189440).

2142720000 is an abundant number, since it is smaller than the sum of its proper divisors (6045658880).

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

2142720000 is an frugal number, since it uses more digits than its factorization.

2142720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 2142720000 is about 46289.5236527662. The cubic root of 2142720000 is about 1289.2044851868.

Adding to 2142720000 its reverse (272412), we get a palindrome (2142992412).

The spelling of 2142720000 in words is "two billion, one hundred forty-two million, seven hundred twenty thousand".