2805206040 has 1024 divisors, whose sum is σ = 12889497600. Its totient is φ = 525533184.

The previous prime is 2805205993. The next prime is 2805206051. The reversal of 2805206040 is 406025082.

2805206040 is a `hidden beast` number, since 2 + 8 + 0 + 52 + 0 + 604 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2805205995 and 2805206013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 38427444 + ... + 38427516.

It is an arithmetic number, because the mean of its divisors is an integer number (12587400).

Almost surely, 2^2805206040 is an apocalyptic number.

2805206040 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 2805206040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6444748800).

2805206040 is an abundant number, since it is smaller than the sum of its proper divisors (10084291560).

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

2805206040 is a wasteful number, since it uses less digits than its factorization.

2805206040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 143 counting only the distinct ones).

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

The square root of 2805206040 is about 52964.1958307685. The cubic root of 2805206040 is about 1410.3327417517.

The spelling of 2805206040 in words is "two billion, eight hundred five million, two hundred six thousand, forty".