2141832000 has 896 divisors, whose sum is σ = 9433681920. Its totient is φ = 414720000.

The previous prime is 2141831959. The next prime is 2141832029. The reversal of 2141832000 is 2381412.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 35111970 + ... + 35112030.

Almost surely, 2^2141832000 is an apocalyptic number.

2141832000 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 2141832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4716840960).

2141832000 is an abundant number, since it is smaller than the sum of its proper divisors (7291849920).

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

2141832000 is a wasteful number, since it uses less digits than its factorization.

2141832000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 2141832000 is about 46279.9308556095. The cubic root of 2141832000 is about 1289.0263670680.

The spelling of 2141832000 in words is "two billion, one hundred forty-one million, eight hundred thirty-two thousand".