2286724409928 has 768 divisors, whose sum is σ = 8150464166400. Its totient is φ = 579818373120.

The previous prime is 2286724409927. The next prime is 2286724409933. The reversal of 2286724409928 is 8299044276822.

2286724409928 is a `hidden beast` number, since 2 + 2 + 86 + 7 + 2 + 440 + 99 + 28 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (2286724409923) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2607439026 + ... + 2607439902.

It is an arithmetic number, because the mean of its divisors is an integer number (10612583550).

Almost surely, 2^{2286724409928} is an apocalyptic number.

2286724409928 is a gapful number since it is divisible by the number (28) 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 2286724409928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4075232083200).

2286724409928 is an abundant number, since it is smaller than the sum of its proper divisors (5863739756472).

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

2286724409928 is a wasteful number, since it uses less digits than its factorization.

2286724409928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1235 (or 1206 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 2286724409928 in words is "two trillion, two hundred eighty-six billion, seven hundred twenty-four million, four hundred nine thousand, nine hundred twenty-eight".