1995782880 has 192 divisors, whose sum is σ = 7737666048. Its totient is φ = 421079040.

The previous prime is 1995782879. The next prime is 1995782947. The reversal of 1995782880 is 882875991.

It is a self number, because there is not a number n which added to its sum of digits gives 1995782880.

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, 20835 + ... + 66525.

It is an arithmetic number, because the mean of its divisors is an integer number (40300344).

Almost surely, 2^1995782880 is an apocalyptic number.

1995782880 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 1995782880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3868833024).

1995782880 is an abundant number, since it is smaller than the sum of its proper divisors (5741883168).

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

1995782880 is a wasteful number, since it uses less digits than its factorization.

1995782880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45729 (or 45721 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 57.

The square root of 1995782880 is about 44674.1858347749. The cubic root of 1995782880 is about 1259.0348870506.

The spelling of 1995782880 in words is "one billion, nine hundred ninety-five million, seven hundred eighty-two thousand, eight hundred eighty".