2166731100 has 432 divisors, whose sum is σ = 7660863840. Its totient is φ = 524620800.

The previous prime is 2166731087. The next prime is 2166731131. The reversal of 2166731100 is 11376612.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 52847080 + ... + 52847120.

Almost surely, 2^2166731100 is an apocalyptic number.

2166731100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2166731100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3830431920).

2166731100 is an abundant number, since it is smaller than the sum of its proper divisors (5494132740).

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

2166731100 is a wasteful number, since it uses less digits than its factorization.

2166731100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 2166731100 is about 46548.1589324433. The cubic root of 2166731100 is about 1294.0021730664.

The spelling of 2166731100 in words is "two billion, one hundred sixty-six million, seven hundred thirty-one thousand, one hundred".