2006034800 has 360 divisors, whose sum is σ = 6282264576. Its totient is φ = 601920000.

The previous prime is 2006034791. The next prime is 2006034803. The reversal of 2006034800 is 84306002.

It is a happy number.

It is a super-2 number, since 2×2006034800² = 8048351237622080000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2006034803) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10502705 + ... + 10502895.

Almost surely, 2^2006034800 is an apocalyptic number.

2006034800 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 2006034800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3141132288).

2006034800 is an abundant number, since it is smaller than the sum of its proper divisors (4276229776).

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

2006034800 is a wasteful number, since it uses less digits than its factorization.

2006034800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 2006034800 is about 44788.7798449567. The cubic root of 2006034800 is about 1261.1870060407.

The spelling of 2006034800 in words is "two billion, six million, thirty-four thousand, eight hundred".