2165700002000 has 40 divisors (see below), whose sum is σ = 5236662609672. Its totient is φ = 866280000000.

The previous prime is 2165700001991. The next prime is 2165700002003. The reversal of 2165700002000 is 2000075612.

It can be written as a sum of positive squares in 4 ways, for example, as 21127203904 + 2144572798096 = 145352^2 + 1464436^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2165700002003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 541423001 + ... + 541427000.

Almost surely, 2^{2165700002000} is an apocalyptic number.

2165700002000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2165700002000 is an abundant number, since it is smaller than the sum of its proper divisors (3070962607672).

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

2165700002000 is a wasteful number, since it uses less digits than its factorization.

2165700002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1082850024 (or 1082850008 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

Adding to 2165700002000 its reverse (2000075612), we get a palindrome (2167700077612).

The spelling of 2165700002000 in words is "two trillion, one hundred sixty-five billion, seven hundred million, two thousand".