1933324920 has 192 divisors, whose sum is σ = 6527139840. Its totient is φ = 495763200.

The previous prime is 1933324901. The next prime is 1933324927. The reversal of 1933324920 is 294233391.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1933324927) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2131107 + ... + 2132013.

It is an arithmetic number, because the mean of its divisors is an integer number (33995520).

Almost surely, 2^1933324920 is an apocalyptic number.

1933324920 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 1933324920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3263569920).

1933324920 is an abundant number, since it is smaller than the sum of its proper divisors (4593814920).

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

1933324920 is a wasteful number, since it uses less digits than its factorization.

1933324920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1146 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 1933324920 is about 43969.5908554992. The cubic root of 1933324920 is about 1245.7616281391.

It can be divided in two parts, 19333 and 24920, that added together give a triangular number (44253 = T₂₉₇).

The spelling of 1933324920 in words is "one billion, nine hundred thirty-three million, three hundred twenty-four thousand, nine hundred twenty".