2004561116220 has 144 divisors (see below), whose sum is σ = 6341984474112. Its totient is φ = 471976876800.

The previous prime is 2004561116213. The next prime is 2004561116227. The reversal of 2004561116220 is 226111654002.

It is an interprime number because it is at equal distance from previous prime (2004561116213) and next prime (2004561116227).

It is a super-2 number, since 2×2004561116220² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2004561116227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4064356 + ... + 4530795.

It is an arithmetic number, because the mean of its divisors is an integer number (44041558848).

Almost surely, 2^{2004561116220} is an apocalyptic number.

2004561116220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2004561116220 is an abundant number, since it is smaller than the sum of its proper divisors (4337423357892).

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

2004561116220 is a wasteful number, since it uses less digits than its factorization.

2004561116220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8595212 (or 8595197 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 2004561116220 in words is "two trillion, four billion, five hundred sixty-one million, one hundred sixteen thousand, two hundred twenty".