2004526080 has 264 divisors, whose sum is σ = 7121742264. Its totient is φ = 521011200.

The previous prime is 2004526021. The next prime is 2004526099. The reversal of 2004526080 is 806254002.

2004526080 is a `hidden beast` number, since 2 + 0 + 0 + 4 + 52 + 608 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 28901376 + 1975624704 = 5376^2 + 44448^2 .

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, 1888750 + ... + 1889810.

Almost surely, 2^2004526080 is an apocalyptic number.

2004526080 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 2004526080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3560871132).

2004526080 is an abundant number, since it is smaller than the sum of its proper divisors (5117216184).

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

2004526080 is a wasteful number, since it uses less digits than its factorization.

2004526080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1133 (or 1112 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2004526080 is about 44771.9340658855. The cubic root of 2004526080 is about 1260.8707510951.

The spelling of 2004526080 in words is "two billion, four million, five hundred twenty-six thousand, eighty".