2140895712400 has 135 divisors (see below), whose sum is σ = 5188821596203. Its totient is φ = 848878508800.

The previous prime is 2140895712377. The next prime is 2140895712409. The reversal of 2140895712400 is 42175980412.

The square root of 2140895712400 is 1463180.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 638957225104 + 1501938487296 = 799348^2 + 1225536^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2140895712409) 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 26 ways as a sum of consecutive naturals, for example, 4360276155 + ... + 4360276645.

Almost surely, 2^{2140895712400} is an apocalyptic number.

2140895712400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2140895712400 is the 1463180-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2140895712400

2140895712400 is an abundant number, since it is smaller than the sum of its proper divisors (3047925883803).

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

2140895712400 is an frugal number, since it uses more digits than its factorization.

2140895712400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1298 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 43.

The spelling of 2140895712400 in words is "two trillion, one hundred forty billion, eight hundred ninety-five million, seven hundred twelve thousand, four hundred".