2008235880 has 288 divisors, whose sum is σ = 7654383360. Its totient is φ = 447310080.

The previous prime is 2008235863. The next prime is 2008235899. The reversal of 2008235880 is 885328002.

2008235880 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2008235880² = 8066022699438748800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4659265 + ... + 4659695.

It is an arithmetic number, because the mean of its divisors is an integer number (26577720).

Almost surely, 2^2008235880 is an apocalyptic number.

2008235880 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 2008235880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3827191680).

2008235880 is an abundant number, since it is smaller than the sum of its proper divisors (5646147480).

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

2008235880 is a wasteful number, since it uses less digits than its factorization.

2008235880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 2008235880 is about 44813.3448874328. The cubic root of 2008235880 is about 1261.6481078488.

The spelling of 2008235880 in words is "two billion, eight million, two hundred thirty-five thousand, eight hundred eighty".