2006902800 has 540 divisors, whose sum is σ = 8385701376. Its totient is φ = 442713600.

The previous prime is 2006902763. The next prime is 2006902811. The reversal of 2006902800 is 82096002.

2006902800 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 5468217 + ... + 5468583.

Almost surely, 2^2006902800 is an apocalyptic number.

2006902800 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 2006902800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4192850688).

2006902800 is an abundant number, since it is smaller than the sum of its proper divisors (6378798576).

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

2006902800 is a wasteful number, since it uses less digits than its factorization.

2006902800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2006902800 is about 44798.4687238303. The cubic root of 2006902800 is about 1261.3688826574.

Adding to 2006902800 its reverse (82096002), we get a palindrome (2088998802).

The spelling of 2006902800 in words is "two billion, six million, nine hundred two thousand, eight hundred".