2012040000 has 560 divisors, whose sum is σ = 7808000640. Its totient is φ = 513216000.

The previous prime is 2012039989. The next prime is 2012040071. The reversal of 2012040000 is 402102.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a nialpdrome in base 15.

It is a zygodrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 87479989 + ... + 87480011.

Almost surely, 2^2012040000 is an apocalyptic number.

2012040000 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 2012040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3904000320).

2012040000 is an abundant number, since it is smaller than the sum of its proper divisors (5795960640).

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

2012040000 is an frugal number, since it uses more digits than its factorization.

2012040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 2012040000 is about 44855.7688597576. The cubic root of 2012040000 is about 1262.4442350299. Note that the first 3 decimals are identical.

Adding to 2012040000 its reverse (402102), we get a palindrome (2012442102).

The spelling of 2012040000 in words is "two billion, twelve million, forty thousand".