2805590020464 has 1440 divisors, whose sum is σ = 10719113932800. Its totient is φ = 668412518400.

The previous prime is 2805590020459. The next prime is 2805590020577. The reversal of 2805590020464 is 4640200955082.

2805590020464 is a `hidden beast` number, since 2 + 80 + 5 + 5 + 90 + 0 + 20 + 464 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 12581121057 + ... + 12581121279.

It is an arithmetic number, because the mean of its divisors is an integer number (7443829120).

Almost surely, 2^{2805590020464} is an apocalyptic number.

2805590020464 is a gapful number since it is divisible by the number (24) 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 2805590020464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5359556966400).

2805590020464 is an abundant number, since it is smaller than the sum of its proper divisors (7913523912336).

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

2805590020464 is a wasteful number, since it uses less digits than its factorization.

2805590020464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 2805590020464 in words is "two trillion, eight hundred five billion, five hundred ninety million, twenty thousand, four hundred sixty-four".