2012688000 has 320 divisors, whose sum is σ = 7479992520. Its totient is φ = 536371200.

The previous prime is 2012687983. The next prime is 2012688019. The reversal of 2012688000 is 8862102.

It can be written as a sum of positive squares in 4 ways, for example, as 226442304 + 1786245696 = 15048^2 + 42264^2 .

It is a tau number, because it is divible by the number of its divisors (320).

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 39 ways as a sum of consecutive naturals, for example, 1295224 + ... + 1296776.

Almost surely, 2^2012688000 is an apocalyptic number.

2012688000 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 2012688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3739996260).

2012688000 is an abundant number, since it is smaller than the sum of its proper divisors (5467304520).

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

2012688000 is an equidigital number, since it uses as much as digits as its factorization.

2012688000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1594 (or 1563 counting only the distinct ones).

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

The square root of 2012688000 is about 44862.9914294622. The cubic root of 2012688000 is about 1262.5797485813.

The spelling of 2012688000 in words is "two billion, twelve million, six hundred eighty-eight thousand".