2140987200 has 672 divisors, whose sum is σ = 8381463552. Its totient is φ = 473088000.

The previous prime is 2140987183. The next prime is 2140987207. The reversal of 2140987200 is 27890412.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2140987207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 49790379 + ... + 49790421.

It is an arithmetic number, because the mean of its divisors is an integer number (12472416).

Almost surely, 2^2140987200 is an apocalyptic number.

2140987200 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 2140987200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4190731776).

2140987200 is an abundant number, since it is smaller than the sum of its proper divisors (6240476352).

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

2140987200 is a wasteful number, since it uses less digits than its factorization.

2140987200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 2140987200 is about 46270.8028890790. The cubic root of 2140987200 is about 1288.8568684519.

The spelling of 2140987200 in words is "two billion, one hundred forty million, nine hundred eighty-seven thousand, two hundred".