2165040900 has 405 divisors, whose sum is σ = 7881852517. Its totient is φ = 513691200.

The previous prime is 2165040887. The next prime is 2165040901. The reversal of 2165040900 is 90405612.

The square root of 2165040900 is 46530.

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

2165040900 is a `hidden beast` number, since 2 + 1 + 650 + 4 + 0 + 9 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 779414724 + 1385626176 = 27918^2 + 37224^2 .

It is a tau number, because it is divible by the number of its divisors (405).

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

It is not an unprimeable number, because it can be changed into a prime (2165040901) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 46064677 + ... + 46064723.

Almost surely, 2^2165040900 is an apocalyptic number.

2165040900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2165040900 is the 46530-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2165040900

2165040900 is an abundant number, since it is smaller than the sum of its proper divisors (5716811617).

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

2165040900 is a wasteful number, since it uses less digits than its factorization.

2165040900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The cubic root of 2165040900 is about 1293.6656151640.

The spelling of 2165040900 in words is "two billion, one hundred sixty-five million, forty thousand, nine hundred".