1933290920 has 64 divisors (see below), whose sum is σ = 4751913600. Its totient is φ = 702042880.

The previous prime is 1933290899. The next prime is 1933290929. The reversal of 1933290920 is 290923391.

It is a super-2 number, since 2×1933290920² = 7475227562708892800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1933290929) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 366542 + ... + 371778.

It is an arithmetic number, because the mean of its divisors is an integer number (74248650).

Almost surely, 2^1933290920 is an apocalyptic number.

1933290920 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 1933290920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2375956800).

1933290920 is an abundant number, since it is smaller than the sum of its proper divisors (2818622680).

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

1933290920 is a wasteful number, since it uses less digits than its factorization.

1933290920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6098 (or 6094 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 38.

The square root of 1933290920 is about 43969.2042229559. The cubic root of 1933290920 is about 1245.7543253240.

The spelling of 1933290920 in words is "one billion, nine hundred thirty-three million, two hundred ninety thousand, nine hundred twenty".