2805995520 has 480 divisors, whose sum is σ = 10702692000. Its totient is φ = 700710912.

The previous prime is 2805995519. The next prime is 2805995567. The reversal of 2805995520 is 255995082.

2805995520 is a `hidden beast` number, since 2 + 8 + 0 + 5 + 99 + 552 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-3 number, since 3×2805995520³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14100381 + ... + 14100579.

It is an arithmetic number, because the mean of its divisors is an integer number (22297275).

Almost surely, 2^2805995520 is an apocalyptic number.

2805995520 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 2805995520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5351346000).

2805995520 is an abundant number, since it is smaller than the sum of its proper divisors (7896696480).

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

2805995520 is a wasteful number, since it uses less digits than its factorization.

2805995520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

The square root of 2805995520 is about 52971.6482658412. The cubic root of 2805995520 is about 1410.4650344771.

The spelling of 2805995520 in words is "two billion, eight hundred five million, nine hundred ninety-five thousand, five hundred twenty".