2012788800 has 504 divisors, whose sum is σ = 7944928992. Its totient is φ = 479232000.

The previous prime is 2012788783. The next prime is 2012788847. The reversal of 2012788800 is 88872102.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15364735 + ... + 15364865.

It is an arithmetic number, because the mean of its divisors is an integer number (15763748).

Almost surely, 2^2012788800 is an apocalyptic number.

2012788800 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 2012788800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3972464496).

2012788800 is an abundant number, since it is smaller than the sum of its proper divisors (5932140192).

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

2012788800 is a wasteful number, since it uses less digits than its factorization.

2012788800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 2012788800 is about 44864.1148358017. The cubic root of 2012788800 is about 1262.6008258528.

The spelling of 2012788800 in words is "two billion, twelve million, seven hundred eighty-eight thousand, eight hundred".