5905370240 has 768 divisors, whose sum is σ = 20344348800. Its totient is φ = 1610219520.

The previous prime is 5905370161. The next prime is 5905370243. The reversal of 5905370240 is 420735095.

It is a super-4 number, since 4×5905370240⁴ (a number of 40 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 5905370240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5905370243) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 111422054 + ... + 111422106.

Almost surely, 2^5905370240 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 5905370240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10172174400).

5905370240 is an abundant number, since it is smaller than the sum of its proper divisors (14438978560).

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

5905370240 is a wasteful number, since it uses less digits than its factorization.

5905370240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 35.

The square root of 5905370240 is about 76846.4068125504. The cubic root of 5905370240 is about 1807.5169435475.

The spelling of 5905370240 in words is "five billion, nine hundred five million, three hundred seventy thousand, two hundred forty".