2166071200 has 36 divisors (see below), whose sum is σ = 5287923270. Its totient is φ = 866428160.

The previous prime is 2166071197. The next prime is 2166071203. The reversal of 2166071200 is 21706612.

It is an interprime number because it is at equal distance from previous prime (2166071197) and next prime (2166071203).

It can be written as a sum of positive squares in 3 ways, for example, as 1815782544 + 350288656 = 42612^2 + 18716^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (2166071203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1352995 + ... + 1354594.

Almost surely, 2^2166071200 is an apocalyptic number.

2166071200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2166071200 is an abundant number, since it is smaller than the sum of its proper divisors (3121852070).

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

2166071200 is a wasteful number, since it uses less digits than its factorization.

2166071200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2707609 (or 2707596 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 2166071200 is about 46541.0700349702. The cubic root of 2166071200 is about 1293.8707925522.

Adding to 2166071200 its reverse (21706612), we get a palindrome (2187777812).

The spelling of 2166071200 in words is "two billion, one hundred sixty-six million, seventy-one thousand, two hundred".