2905486560 has 288 divisors, whose sum is σ = 10157827680. Its totient is φ = 756117504.

The previous prime is 2905486543. The next prime is 2905486567. The reversal of 2905486560 is 656845092.

2905486560 is a `hidden beast` number, since 2 + 9 + 0 + 5 + 4 + 86 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2905486567) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16794634 + ... + 16794806.

It is an arithmetic number, because the mean of its divisors is an integer number (35270235).

Almost surely, 2^2905486560 is an apocalyptic number.

2905486560 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 2905486560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5078913840).

2905486560 is an abundant number, since it is smaller than the sum of its proper divisors (7252341120).

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

2905486560 is a wasteful number, since it uses less digits than its factorization.

2905486560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 2905486560 is about 53902.5654305989. The cubic root of 2905486560 is about 1426.9418991314.

The spelling of 2905486560 in words is "two billion, nine hundred five million, four hundred eighty-six thousand, five hundred sixty".