2004518880 has 384 divisors, whose sum is σ = 8636544000. Its totient is φ = 422848512.

The previous prime is 2004518849. The next prime is 2004518891. The reversal of 2004518880 is 888154002.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 390571 + ... + 395669.

It is an arithmetic number, because the mean of its divisors is an integer number (22491000).

Almost surely, 2^2004518880 is an apocalyptic number.

2004518880 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 2004518880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4318272000).

2004518880 is an abundant number, since it is smaller than the sum of its proper divisors (6632025120).

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

2004518880 is a wasteful number, since it uses less digits than its factorization.

2004518880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5143 (or 5129 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 2004518880 is about 44771.8536582974. The cubic root of 2004518880 is about 1260.8692414647.

The spelling of 2004518880 in words is "two billion, four million, five hundred eighteen thousand, eight hundred eighty".