2826601560 has 384 divisors, whose sum is σ = 10408020480. Its totient is φ = 661377024.

The previous prime is 2826601553. The next prime is 2826601571. The reversal of 2826601560 is 651066282.

2826601560 is a `hidden beast` number, since 28 + 26 + 601 + 5 + 6 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6052447 + ... + 6052913.

It is an arithmetic number, because the mean of its divisors is an integer number (27104220).

Almost surely, 2^2826601560 is an apocalyptic number.

2826601560 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 2826601560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5204010240).

2826601560 is an abundant number, since it is smaller than the sum of its proper divisors (7581418920).

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

2826601560 is a wasteful number, since it uses less digits than its factorization.

2826601560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 2826601560 is about 53165.7931380695. The cubic root of 2826601560 is about 1413.9092360984.

The spelling of 2826601560 in words is "two billion, eight hundred twenty-six million, six hundred one thousand, five hundred sixty".