2849661360 has 960 divisors, whose sum is σ = 12895174656. Its totient is φ = 547430400.

The previous prime is 2849661359. The next prime is 2849661413. The reversal of 2849661360 is 631669482.

2849661360 is a `hidden beast` number, since 28 + 4 + 9 + 6 + 613 + 6 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 46715730 + ... + 46715790.

Almost surely, 2^2849661360 is an apocalyptic number.

2849661360 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 2849661360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6447587328).

2849661360 is an abundant number, since it is smaller than the sum of its proper divisors (10045513296).

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

2849661360 is a wasteful number, since it uses less digits than its factorization.

2849661360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 2849661360 is about 53382.2195117438. The cubic root of 2849661360 is about 1417.7437819664.

The spelling of 2849661360 in words is "two billion, eight hundred forty-nine million, six hundred sixty-one thousand, three hundred sixty".