2166511200 has 144 divisors (see below), whose sum is σ = 8059484160. Its totient is φ = 495198720.

The previous prime is 2166511189. The next prime is 2166511261. The reversal of 2166511200 is 21156612.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47680 + ... + 81279.

It is an arithmetic number, because the mean of its divisors is an integer number (55968640).

Almost surely, 2^2166511200 is an apocalyptic number.

2166511200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2166511200 is an abundant number, since it is smaller than the sum of its proper divisors (5892972960).

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

2166511200 is a wasteful number, since it uses less digits than its factorization.

2166511200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128989 (or 128976 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 2166511200 is about 46545.7968027189. The cubic root of 2166511200 is about 1293.9583957983.

Adding to 2166511200 its reverse (21156612), we get a palindrome (2187667812).

The spelling of 2166511200 in words is "two billion, one hundred sixty-six million, five hundred eleven thousand, two hundred".