1940533920 has 288 divisors, whose sum is σ = 7443176832. Its totient is φ = 456800256.

The previous prime is 1940533913. The next prime is 1940533951. The reversal of 1940533920 is 293350491.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 428307 + ... + 432813.

It is an arithmetic number, because the mean of its divisors is an integer number (25844364).

Almost surely, 2^1940533920 is an apocalyptic number.

1940533920 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 1940533920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3721588416).

1940533920 is an abundant number, since it is smaller than the sum of its proper divisors (5502642912).

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

1940533920 is a wasteful number, since it uses less digits than its factorization.

1940533920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4564 (or 4553 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 1940533920 is about 44051.4916887045. The cubic root of 1940533920 is about 1247.3081100776.

The spelling of 1940533920 in words is "one billion, nine hundred forty million, five hundred thirty-three thousand, nine hundred twenty".