2140872800 has 144 divisors (see below), whose sum is σ = 5898841200. Its totient is φ = 751564800.

The previous prime is 2140872793. The next prime is 2140872809. The reversal of 2140872800 is 82780412.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2140872809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 251006 + ... + 259394.

It is an arithmetic number, because the mean of its divisors is an integer number (40964175).

Almost surely, 2^2140872800 is an apocalyptic number.

2140872800 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 2140872800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2949420600).

2140872800 is an abundant number, since it is smaller than the sum of its proper divisors (3757968400).

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

2140872800 is a wasteful number, since it uses less digits than its factorization.

2140872800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8449 (or 8436 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 32.

The square root of 2140872800 is about 46269.5666718417. The cubic root of 2140872800 is about 1288.8339120867.

The spelling of 2140872800 in words is "two billion, one hundred forty million, eight hundred seventy-two thousand, eight hundred".