2284179056640 has 1440 divisors, whose sum is σ = 9378923594040. Its totient is φ = 528463429632.

The previous prime is 2284179056603. The next prime is 2284179056651. The reversal of 2284179056640 is 466509714822.

2284179056640 is a `hidden beast` number, since 2 + 2 + 8 + 4 + 1 + 79 + 0 + 566 + 4 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 1040008356864 + 1244170699776 = 1019808^2 + 1115424^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-3 number, since 3×2284179056640³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3116205714 + ... + 3116206446.

Almost surely, 2^{2284179056640} is an apocalyptic number.

2284179056640 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 2284179056640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4689461797020).

2284179056640 is an abundant number, since it is smaller than the sum of its proper divisors (7094744537400).

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

2284179056640 is a wasteful number, since it uses less digits than its factorization.

2284179056640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 2284179056640 in words is "two trillion, two hundred eighty-four billion, one hundred seventy-nine million, fifty-six thousand, six hundred forty".