2861568000 has 624 divisors, whose sum is σ = 11162825856. Its totient is φ = 729907200.

The previous prime is 2861567987. The next prime is 2861568001. The reversal of 2861568000 is 8651682.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (2861568001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 124415989 + ... + 124416011.

It is an arithmetic number, because the mean of its divisors is an integer number (17889144).

Almost surely, 2^2861568000 is an apocalyptic number.

2861568000 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 2861568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5581412928).

2861568000 is an abundant number, since it is smaller than the sum of its proper divisors (8301257856).

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

2861568000 is an frugal number, since it uses more digits than its factorization.

2861568000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 2861568000 is about 53493.6257884993. The cubic root of 2861568000 is about 1419.7156079282.

The spelling of 2861568000 in words is "two billion, eight hundred sixty-one million, five hundred sixty-eight thousand".