2071932000 has 192 divisors, whose sum is σ = 7083707904. Its totient is φ = 528422400.

The previous prime is 2071931993. The next prime is 2071932017. The reversal of 2071932000 is 2391702.

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 31 ways as a sum of consecutive naturals, for example, 272247 + ... + 279753.

It is an arithmetic number, because the mean of its divisors is an integer number (36894312).

Almost surely, 2^2071932000 is an apocalyptic number.

2071932000 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 2071932000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3541853952).

2071932000 is an abundant number, since it is smaller than the sum of its proper divisors (5011775904).

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

2071932000 is a wasteful number, since it uses less digits than its factorization.

2071932000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7558 (or 7540 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 2071932000 is about 45518.4797637179. The cubic root of 2071932000 is about 1274.8482710641.

The spelling of 2071932000 in words is "two billion, seventy-one million, nine hundred thirty-two thousand".