284357002120 has 128 divisors (see below), whose sum is σ = 671467991040. Its totient is φ = 108241816320.

The previous prime is 284357002081. The next prime is 284357002121. The reversal of 284357002120 is 21200753482.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (284357002121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53417779 + ... + 53423101.

It is an arithmetic number, because the mean of its divisors is an integer number (5245843680).

Almost surely, 2^284357002120 is an apocalyptic number.

284357002120 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 284357002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335733995520).

284357002120 is an abundant number, since it is smaller than the sum of its proper divisors (387110988920).

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

284357002120 is a wasteful number, since it uses less digits than its factorization.

284357002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6075 (or 6071 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The spelling of 284357002120 in words is "two hundred eighty-four billion, three hundred fifty-seven million, two thousand, one hundred twenty".