2005655080 has 256 divisors, whose sum is σ = 5584723200. Its totient is φ = 638238720.

The previous prime is 2005655023. The next prime is 2005655101. The reversal of 2005655080 is 805565002.

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, 17749104 + ... + 17749216.

It is an arithmetic number, because the mean of its divisors is an integer number (21815325).

Almost surely, 2^2005655080 is an apocalyptic number.

2005655080 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 2005655080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2792361600).

2005655080 is an abundant number, since it is smaller than the sum of its proper divisors (3579068120).

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

2005655080 is a wasteful number, since it uses less digits than its factorization.

2005655080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 31.

The square root of 2005655080 is about 44784.5406362508. The cubic root of 2005655080 is about 1261.1074248108.

The spelling of 2005655080 in words is "two billion, five million, six hundred fifty-five thousand, eighty".