2032584118272 has 312 divisors, whose sum is σ = 6188655661760. Its totient is φ = 640991232000.

The previous prime is 2032584118261. The next prime is 2032584118303. The reversal of 2032584118272 is 2728114852302.

2032584118272 is a `hidden beast` number, since 2 + 0 + 32 + 584 + 1 + 18 + 27 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 677300772 + ... + 677303772.

Almost surely, 2^{2032584118272} 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 2032584118272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3094327830880).

2032584118272 is an abundant number, since it is smaller than the sum of its proper divisors (4156071543488).

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

2032584118272 is a wasteful number, since it uses less digits than its factorization.

2032584118272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4017 (or 3992 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 2032584118272 in words is "two trillion, thirty-two billion, five hundred eighty-four million, one hundred eighteen thousand, two hundred seventy-two".