2005241545080 has 96 divisors (see below), whose sum is σ = 6520408745760. Its totient is φ = 534454260480.

The previous prime is 2005241545067. The next prime is 2005241545081. The reversal of 2005241545080 is 805451425002.

2005241545080 is a `hidden beast` number, since 2 + 0 + 0 + 524 + 1 + 5 + 4 + 50 + 80 = 666.

It is a super-2 number, since 2×2005241545080² (a number of 25 digits) contains 22 as substring.

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 (2005241545081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 744916 + ... + 2136675.

It is an arithmetic number, because the mean of its divisors is an integer number (67920924435).

Almost surely, 2^{2005241545080} is an apocalyptic number.

2005241545080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2005241545080 is an abundant number, since it is smaller than the sum of its proper divisors (4515167200680).

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

2005241545080 is a wasteful number, since it uses less digits than its factorization.

2005241545080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2883541 (or 2883534 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 36.

The spelling of 2005241545080 in words is "two trillion, five billion, two hundred forty-one million, five hundred forty-five thousand, eighty".