2088261000 has 640 divisors, whose sum is σ = 8698060800. Its totient is φ = 457228800.

The previous prime is 2088260989. The next prime is 2088261041. The reversal of 2088261000 is 1628802.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 16442937 + ... + 16443063.

It is an arithmetic number, because the mean of its divisors is an integer number (13590720).

Almost surely, 2^2088261000 is an apocalyptic number.

2088261000 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 2088261000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4349030400).

2088261000 is an abundant number, since it is smaller than the sum of its proper divisors (6609799800).

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

2088261000 is a wasteful number, since it uses less digits than its factorization.

2088261000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 2088261000 is about 45697.4944608564. The cubic root of 2088261000 is about 1278.1885590988.

Adding to 2088261000 its reverse (1628802), we get a palindrome (2089889802).

The spelling of 2088261000 in words is "two billion, eighty-eight million, two hundred sixty-one thousand".