6294570240 has 288 divisors, whose sum is σ = 23599860480. Its totient is φ = 1399652352.

The previous prime is 6294570221. The next prime is 6294570257. The reversal of 6294570240 is 420754926.

It is a super-2 number, since 2×6294570240² = 79243229012587315200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 991396 + ... + 997724.

It is an arithmetic number, because the mean of its divisors is an integer number (81943960).

Almost surely, 2^6294570240 is an apocalyptic number.

6294570240 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 6294570240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11799930240).

6294570240 is an abundant number, since it is smaller than the sum of its proper divisors (17305290240).

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

6294570240 is a wasteful number, since it uses less digits than its factorization.

6294570240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6397 (or 6383 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 6294570240 is about 79338.3276859300. The cubic root of 6294570240 is about 1846.3839998533.

The spelling of 6294570240 in words is "six billion, two hundred ninety-four million, five hundred seventy thousand, two hundred forty".