2000090880 has 360 divisors, whose sum is σ = 7265389824. Its totient is φ = 525312000.

The previous prime is 2000090867. The next prime is 2000090893. The reversal of 2000090880 is 880900002.

It is an interprime number because it is at equal distance from previous prime (2000090867) and next prime (2000090893).

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10471585 + ... + 10471775.

Almost surely, 2^2000090880 is an apocalyptic number.

2000090880 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 2000090880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3632694912).

2000090880 is an abundant number, since it is smaller than the sum of its proper divisors (5265298944).

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

2000090880 is a wasteful number, since it uses less digits than its factorization.

2000090880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 2000090880 is about 44722.3756077425. The cubic root of 2000090880 is about 1259.9401332100.

Adding to 2000090880 its reverse (880900002), we get a palindrome (2880990882).

The spelling of 2000090880 in words is "two billion, ninety thousand, eight hundred eighty".