2008022400 has 480 divisors, whose sum is σ = 7590823680. Its totient is φ = 522547200.

The previous prime is 2008022381. The next prime is 2008022411. The reversal of 2008022400 is 42208002.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 15811137 + ... + 15811263.

It is an arithmetic number, because the mean of its divisors is an integer number (15814216).

Almost surely, 2^2008022400 is an apocalyptic number.

2008022400 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 2008022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3795411840).

2008022400 is an abundant number, since it is smaller than the sum of its proper divisors (5582801280).

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

2008022400 is a wasteful number, since it uses less digits than its factorization.

2008022400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2008022400 is about 44810.9629443510. The cubic root of 2008022400 is about 1261.6034009189.

The spelling of 2008022400 in words is "two billion, eight million, twenty-two thousand, four hundred".