6040890240 has 512 divisors, whose sum is σ = 24852096000. Its totient is φ = 1211105280.

The previous prime is 6040890173. The next prime is 6040890253. The reversal of 6040890240 is 420980406.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4286656 + ... + 4288064.

It is an arithmetic number, because the mean of its divisors is an integer number (48539250).

Almost surely, 2^6040890240 is an apocalyptic number.

6040890240 is a gapful number since it is divisible by the number (60) 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 6040890240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12426048000).

6040890240 is an abundant number, since it is smaller than the sum of its proper divisors (18811205760).

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

6040890240 is a wasteful number, since it uses less digits than its factorization.

6040890240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1478 (or 1466 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 6040890240 is about 77723.1641146962. The cubic root of 6040890240 is about 1821.2391673783.

The spelling of 6040890240 in words is "six billion, forty million, eight hundred ninety thousand, two hundred forty".