5933874240 has 448 divisors, whose sum is σ = 24517624320. Its totient is φ = 1322680320.

The previous prime is 5933874169. The next prime is 5933874241. The reversal of 5933874240 is 424783395.

5933874240 is a `hidden beast` number, since 5 + 9 + 338 + 74 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×5933874240² = 70421726992271155200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (5933874241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2478484 + ... + 2480876.

It is an arithmetic number, because the mean of its divisors is an integer number (54726840).

Almost surely, 2^5933874240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5933874240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12258812160).

5933874240 is an abundant number, since it is smaller than the sum of its proper divisors (18583750080).

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

5933874240 is a wasteful number, since it uses less digits than its factorization.

5933874240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2467 (or 2451 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 5933874240 is about 77031.6444066982. The cubic root of 5933874240 is about 1810.4204470797.

The spelling of 5933874240 in words is "five billion, nine hundred thirty-three million, eight hundred seventy-four thousand, two hundred forty".