2161233000 has 192 divisors, whose sum is σ = 7484415120. Its totient is φ = 562176000.

The previous prime is 2161232999. The next prime is 2161233031. The reversal of 2161233000 is 3321612.

2161233000 is a `hidden beast` number, since 21 + 612 + 3 + 30 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 63776196 + 2097456804 = 7986^2 + 45798^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 366072 + ... + 371928.

Almost surely, 2^2161233000 is an apocalyptic number.

2161233000 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 2161233000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3742207560).

2161233000 is an abundant number, since it is smaller than the sum of its proper divisors (5323182120).

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

2161233000 is a wasteful number, since it uses less digits than its factorization.

2161233000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5925 (or 5908 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2161233000 is about 46489.0632299684. The cubic root of 2161233000 is about 1292.9067318595.

Adding to 2161233000 its reverse (3321612), we get a palindrome (2164554612).

The spelling of 2161233000 in words is "two billion, one hundred sixty-one million, two hundred thirty-three thousand".