1933424640 has 672 divisors, whose sum is σ = 8163923040. Its totient is φ = 429981696.

The previous prime is 1933424617. The next prime is 1933424723. The reversal of 1933424640 is 464243391.

It is a happy number.

1933424640 is a `hidden beast` number, since 1 + 9 + 3 + 3 + 4 + 2 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a junction number, because it is equal to n+sod(n) for n = 1933424595 and 1933424604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 52254702 + ... + 52254738.

It is an arithmetic number, because the mean of its divisors is an integer number (12148695).

Almost surely, 2^1933424640 is an apocalyptic number.

1933424640 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 1933424640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4081961520).

1933424640 is an abundant number, since it is smaller than the sum of its proper divisors (6230498400).

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

1933424640 is an frugal number, since it uses more digits than its factorization.

1933424640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 1933424640 is about 43970.7248063982. The cubic root of 1933424640 is about 1245.7830463726.

The spelling of 1933424640 in words is "one billion, nine hundred thirty-three million, four hundred twenty-four thousand, six hundred forty".