2000445480180 has 480 divisors, whose sum is σ = 7993538784000. Its totient is φ = 407697297408.

The previous prime is 2000445480167. The next prime is 2000445480181. The reversal of 2000445480180 is 810845440002.

2000445480180 is a `hidden beast` number, since 20 + 0 + 0 + 4 + 454 + 8 + 0 + 180 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000445480181) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3389746 + ... + 3935894.

It is an arithmetic number, because the mean of its divisors is an integer number (16653205800).

Almost surely, 2^{2000445480180} is an apocalyptic number.

2000445480180 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 2000445480180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3996769392000).

2000445480180 is an abundant number, since it is smaller than the sum of its proper divisors (5993093303820).

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

2000445480180 is a wasteful number, since it uses less digits than its factorization.

2000445480180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546213 (or 546202 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

It can be divided in two parts, 2000445 and 480180, that added together give a square (2480625 = 1575²).

The spelling of 2000445480180 in words is "two trillion, four hundred forty-five million, four hundred eighty thousand, one hundred eighty".