2008832400 has 315 divisors, whose sum is σ = 7324250929. Its totient is φ = 529234560.

The previous prime is 2008832393. The next prime is 2008832401. The reversal of 2008832400 is 42388002.

The square root of 2008832400 is 44820.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 723179664 + 1285652736 = 26892^2 + 35856^2 .

It is a super-2 number, since 2×2008832400² = 8070815222579520000, which contains 22 as substring.

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

It is a Duffinian number.

It is a zygodrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (2008832401) by changing a digit.

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 62 ways as a sum of consecutive naturals, for example, 24202759 + ... + 24202841.

Almost surely, 2^2008832400 is an apocalyptic number.

2008832400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2008832400 is the 44820-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2008832400

2008832400 is an abundant number, since it is smaller than the sum of its proper divisors (5315418529).

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

2008832400 is an frugal number, since it uses more digits than its factorization.

2008832400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The cubic root of 2008832400 is about 1261.7730141298.

The spelling of 2008832400 in words is "two billion, eight million, eight hundred thirty-two thousand, four hundred".