2886601000 has 48 divisors (see below), whose sum is σ = 6758624340. Its totient is φ = 1153960800.

The previous prime is 2886600979. The next prime is 2886601001. The reversal of 2886601000 is 1066882.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 1951342276 + 935258724 = 44174^2 + 30582^2 .

It is not an unprimeable number, because it can be changed into a prime (2886601001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1698151 + ... + 1699849.

Almost surely, 2^2886601000 is an apocalyptic number.

2886601000 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 2886601000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3379312170).

2886601000 is an abundant number, since it is smaller than the sum of its proper divisors (3872023340).

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

2886601000 is an frugal number, since it uses more digits than its factorization.

2886601000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3419 (or 1706 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 2886601000 is about 53727.0974462608. The cubic root of 2886601000 is about 1423.8434855647.

Adding to 2886601000 its reverse (1066882), we get a palindrome (2887667882).

The spelling of 2886601000 in words is "two billion, eight hundred eighty-six million, six hundred one thousand".