1895920000 has 160 divisors (see below), whose sum is σ = 5085622080. Its totient is φ = 699648000.

The previous prime is 1895919943. The next prime is 1895920003. The reversal of 1895920000 is 295981.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1895920003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1039089 + ... + 1040911.

It is an arithmetic number, because the mean of its divisors is an integer number (31785138).

Almost surely, 2^1895920000 is an apocalyptic number.

1895920000 is a gapful number since it is divisible by the number (10) 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 1895920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2542811040).

1895920000 is an abundant number, since it is smaller than the sum of its proper divisors (3189702080).

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

1895920000 is an equidigital number, since it uses as much as digits as its factorization.

1895920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1870 (or 1843 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 34.

The square root of 1895920000 is about 43542.1634740397. The cubic root of 1895920000 is about 1237.6751444109.

The spelling of 1895920000 in words is "one billion, eight hundred ninety-five million, nine hundred twenty thousand".