2006812800 has 192 divisors, whose sum is σ = 7344693600. Its totient is φ = 535127040.

The previous prime is 2006812793. The next prime is 2006812823. The reversal of 2006812800 is 82186002.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×2006812800² = 8054595228487680000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74787 + ... + 98013.

Almost surely, 2^2006812800 is an apocalyptic number.

2006812800 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 2006812800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3672346800).

2006812800 is an abundant number, since it is smaller than the sum of its proper divisors (5337880800).

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

2006812800 is a wasteful number, since it uses less digits than its factorization.

2006812800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23260 (or 23237 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 2006812800 is about 44797.4642139485. The cubic root of 2006812800 is about 1261.3500269200.

Adding to 2006812800 its reverse (82186002), we get a palindrome (2088998802).

The spelling of 2006812800 in words is "two billion, six million, eight hundred twelve thousand, eight hundred".