6282120240 has 400 divisors, whose sum is σ = 24578712576. Its totient is φ = 1473292800.

The previous prime is 6282120239. The next prime is 6282120253. The reversal of 6282120240 is 420212826.

It is a happy number.

6282120240 is a `hidden beast` number, since 628 + 2 + 12 + 0 + 24 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2208259 + ... + 2211101.

Almost surely, 2^6282120240 is an apocalyptic number.

6282120240 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 6282120240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12289356288).

6282120240 is an abundant number, since it is smaller than the sum of its proper divisors (18296592336).

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

6282120240 is a wasteful number, since it uses less digits than its factorization.

6282120240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2910 (or 2895 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 6282120240 is about 79259.8274032943. The cubic root of 6282120240 is about 1845.1658784034.

The spelling of 6282120240 in words is "six billion, two hundred eighty-two million, one hundred twenty thousand, two hundred forty".