284012640261 has 24 divisors (see below), whose sum is σ = 472995357120. Its totient is φ = 160856712576.

The previous prime is 284012640253. The next prime is 284012640271. The reversal of 284012640261 is 162046210482.

284012640261 is a `hidden beast` number, since 2 + 8 + 4 + 0 + 1 + 2 + 640 + 2 + 6 + 1 = 666.

It is not a de Polignac number, because 284012640261 - 2³ = 284012640253 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (284012640221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19940391 + ... + 19954628.

It is an arithmetic number, because the mean of its divisors is an integer number (19708139880).

Almost surely, 2^284012640261 is an apocalyptic number.

284012640261 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

284012640261 is a deficient number, since it is larger than the sum of its proper divisors (188982716859).

284012640261 is a wasteful number, since it uses less digits than its factorization.

284012640261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39895145 (or 39895142 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

It can be divided in two parts, 28401 and 2640261, that added together give a palindrome (2668662).

The spelling of 284012640261 in words is "two hundred eighty-four billion, twelve million, six hundred forty thousand, two hundred sixty-one".