2140495200 has 288 divisors, whose sum is σ = 7933554720. Its totient is φ = 556646400.

The previous prime is 2140495199. The next prime is 2140495213. The reversal of 2140495200 is 25940412.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 884392 + ... + 886808.

It is an arithmetic number, because the mean of its divisors is an integer number (27547065).

Almost surely, 2^2140495200 is an apocalyptic number.

2140495200 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 2140495200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3966777360).

2140495200 is an abundant number, since it is smaller than the sum of its proper divisors (5793059520).

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

2140495200 is a wasteful number, since it uses less digits than its factorization.

2140495200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2487 (or 2468 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2140495200 is about 46265.4860560224. The cubic root of 2140495200 is about 1288.7581342233.

The spelling of 2140495200 in words is "two billion, one hundred forty million, four hundred ninety-five thousand, two hundred".