2284546085892 has 288 divisors, whose sum is σ = 7318586701440. Its totient is φ = 612361451520.

The previous prime is 2284546085869. The next prime is 2284546085897. The reversal of 2284546085892 is 2985806454822.

2284546085892 is a `hidden beast` number, since 2 + 2 + 8 + 4 + 5 + 46 + 0 + 8 + 589 + 2 = 666.

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 (2284546085897) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28118167 + ... + 28199297.

It is an arithmetic number, because the mean of its divisors is an integer number (25411759380).

Almost surely, 2^{2284546085892} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2284546085892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3659293350720).

2284546085892 is an abundant number, since it is smaller than the sum of its proper divisors (5034040615548).

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

2284546085892 is a wasteful number, since it uses less digits than its factorization.

2284546085892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81488 (or 81473 counting only the distinct ones).

The product of its (nonzero) digits is 88473600, while the sum is 63.

The spelling of 2284546085892 in words is "two trillion, two hundred eighty-four billion, five hundred forty-six million, eighty-five thousand, eight hundred ninety-two".