2140897200 has 480 divisors, whose sum is σ = 8059484160. Its totient is φ = 481075200.

The previous prime is 2140897183. The next prime is 2140897229. The reversal of 2140897200 is 27980412.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9188284 + ... + 9188516.

It is an arithmetic number, because the mean of its divisors is an integer number (16790592).

Almost surely, 2^2140897200 is an apocalyptic number.

2140897200 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 2140897200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4029742080).

2140897200 is an abundant number, since it is smaller than the sum of its proper divisors (5918586960).

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

2140897200 is a wasteful number, since it uses less digits than its factorization.

2140897200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 306 counting only the distinct ones).

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

The square root of 2140897200 is about 46269.8303433241. The cubic root of 2140897200 is about 1288.8388084430.

The spelling of 2140897200 in words is "two billion, one hundred forty million, eight hundred ninety-seven thousand, two hundred".