2284365612672 has 1152 divisors, whose sum is σ = 8442168883200. Its totient is φ = 585501696000.

The previous prime is 2284365612671. The next prime is 2284365612677. The reversal of 2284365612672 is 2762165634822.

2284365612672 is a `hidden beast` number, since 2 + 2 + 8 + 4 + 3 + 6 + 561 + 2 + 6 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

Its product of digits (11612160) is a multiple of the sum of its prime divisors (1890).

It is not an unprimeable number, because it can be changed into a prime (2284365612671) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1261382647 + ... + 1261384457.

It is an arithmetic number, because the mean of its divisors is an integer number (7328271600).

Almost surely, 2^{2284365612672} is an apocalyptic number.

2284365612672 is a gapful number since it is divisible by the number (22) 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 2284365612672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4221084441600).

2284365612672 is an abundant number, since it is smaller than the sum of its proper divisors (6157803270528).

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

2284365612672 is a wasteful number, since it uses less digits than its factorization.

2284365612672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1918 (or 1890 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 54.

The spelling of 2284365612672 in words is "two trillion, two hundred eighty-four billion, three hundred sixty-five million, six hundred twelve thousand, six hundred seventy-two".