283268874240 has 912 divisors, whose sum is σ = 1118870400960. Its totient is φ = 65682800640.

The previous prime is 283268874221. The next prime is 283268874241. The reversal of 283268874240 is 42478862382.

283268874240 is a `hidden beast` number, since 2 + 8 + 326 + 8 + 8 + 74 + 240 = 666.

It is a super-2 number, since 2×283268874240² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (283268874241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4801167331 + ... + 4801167389.

It is an arithmetic number, because the mean of its divisors is an integer number (1226831580).

Almost surely, 2^283268874240 is an apocalyptic number.

283268874240 is a gapful number since it is divisible by the number (20) 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 283268874240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559435200480).

283268874240 is an abundant number, since it is smaller than the sum of its proper divisors (835601526720).

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

283268874240 is an equidigital number, since it uses as much as digits as its factorization.

283268874240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 54.

The spelling of 283268874240 in words is "two hundred eighty-three billion, two hundred sixty-eight million, eight hundred seventy-four thousand, two hundred forty".