1921770000 has 300 divisors, whose sum is σ = 6813556464. Its totient is φ = 505440000.

The previous prime is 1921769989. The next prime is 1921770001. The reversal of 1921770000 is 771291.

It is a tau number, because it is divible by the number of its divisors (300).

It is not an unprimeable number, because it can be changed into a prime (1921770001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 11789919 + ... + 11790081.

Almost surely, 2^1921770000 is an apocalyptic number.

1921770000 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 1921770000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3406778232).

1921770000 is an abundant number, since it is smaller than the sum of its proper divisors (4891786464).

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

1921770000 is a wasteful number, since it uses less digits than its factorization.

1921770000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 27.

The square root of 1921770000 is about 43837.9972170262. The cubic root of 1921770000 is about 1243.2748157397.

The spelling of 1921770000 in words is "one billion, nine hundred twenty-one million, seven hundred seventy thousand".