2161152000 has 624 divisors, whose sum is σ = 9036573312. Its totient is φ = 486604800.

The previous prime is 2161151999. The next prime is 2161152001. The reversal of 2161152000 is 2511612.

2161152000 is a `hidden beast` number, since 2 + 1 + 611 + 52 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2161151999) and next prime (2161152001).

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

It is not an unprimeable number, because it can be changed into a prime (2161152001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32255967 + ... + 32256033.

It is an arithmetic number, because the mean of its divisors is an integer number (14481688).

Almost surely, 2^2161152000 is an apocalyptic number.

2161152000 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 2161152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4518286656).

2161152000 is an abundant number, since it is smaller than the sum of its proper divisors (6875421312).

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

2161152000 is an equidigital number, since it uses as much as digits as its factorization.

2161152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 2161152000 is about 46488.1920491645. The cubic root of 2161152000 is about 1292.8905795437.

Adding to 2161152000 its reverse (2511612), we get a palindrome (2163663612).

The spelling of 2161152000 in words is "two billion, one hundred sixty-one million, one hundred fifty-two thousand".