1933981920 has 360 divisors, whose sum is σ = 7399127736. Its totient is φ = 475517952.

The previous prime is 1933981909. The next prime is 1933981949. The reversal of 1933981920 is 291893391.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2189799 + ... + 2190681.

Almost surely, 2^1933981920 is an apocalyptic number.

1933981920 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 1933981920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3699563868).

1933981920 is an abundant number, since it is smaller than the sum of its proper divisors (5465145816).

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

1933981920 is a wasteful number, since it uses less digits than its factorization.

1933981920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 936 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The square root of 1933981920 is about 43977.0612933607. The cubic root of 1933981920 is about 1245.9027274936.

The spelling of 1933981920 in words is "one billion, nine hundred thirty-three million, nine hundred eighty-one thousand, nine hundred twenty".