2834260560 has 240 divisors, whose sum is σ = 10254486528. Its totient is φ = 699494400.

The previous prime is 2834260547. The next prime is 2834260601. The reversal of 2834260560 is 650624382.

2834260560 is a `hidden beast` number, since 2 + 8 + 3 + 42 + 605 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 510600 + ... + 516120.

Almost surely, 2^2834260560 is an apocalyptic number.

2834260560 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 2834260560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5127243264).

2834260560 is an abundant number, since it is smaller than the sum of its proper divisors (7420225968).

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

2834260560 is a wasteful number, since it uses less digits than its factorization.

2834260560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5594 (or 5585 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 2834260560 is about 53237.7738077016. The cubic root of 2834260560 is about 1415.1851339548.

The spelling of 2834260560 in words is "two billion, eight hundred thirty-four million, two hundred sixty thousand, five hundred sixty".