5840009280 has 336 divisors, whose sum is σ = 23809269120. Its totient is φ = 1334734848.

The previous prime is 5840009261. The next prime is 5840009297. The reversal of 5840009280 is 829000485.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×5840009280² = 68211416780972236800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 538956 + ... + 549684.

It is an arithmetic number, because the mean of its divisors is an integer number (70860920).

Almost surely, 2^5840009280 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 5840009280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11904634560).

5840009280 is an abundant number, since it is smaller than the sum of its proper divisors (17969259840).

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

5840009280 is a wasteful number, since it uses less digits than its factorization.

5840009280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10768 (or 10746 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 5840009280 is about 76419.9534153221. The cubic root of 5840009280 is about 1800.8236230786.

The spelling of 5840009280 in words is "five billion, eight hundred forty million, nine thousand, two hundred eighty".