284080284240 has 320 divisors, whose sum is σ = 922427151360. Its totient is φ = 72250859520.

The previous prime is 284080284227. The next prime is 284080284263. The reversal of 284080284240 is 42482080482.

It is a junction number, because it is equal to n+sod(n) for n = 284080284192 and 284080284201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 198795846 + ... + 198797274.

It is an arithmetic number, because the mean of its divisors is an integer number (2882584848).

Almost surely, 2^284080284240 is an apocalyptic number.

284080284240 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 284080284240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461213575680).

284080284240 is an abundant number, since it is smaller than the sum of its proper divisors (638346867120).

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

284080284240 is a wasteful number, since it uses less digits than its factorization.

284080284240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1910 (or 1904 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 42.

The spelling of 284080284240 in words is "two hundred eighty-four billion, eighty million, two hundred eighty-four thousand, two hundred forty".