2012468900 has 108 divisors (see below), whose sum is σ = 4761031212. Its totient is φ = 738017280.

The previous prime is 2012468863. The next prime is 2012468903. The reversal of 2012468900 is 98642102.

It can be written as a sum of positive squares in 18 ways, for example, as 1940931136 + 71537764 = 44056^2 + 8458^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012468903) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3261392 + ... + 3262008.

Almost surely, 2^2012468900 is an apocalyptic number.

2012468900 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 2012468900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2380515606).

2012468900 is an abundant number, since it is smaller than the sum of its proper divisors (2748562312).

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

2012468900 is a wasteful number, since it uses less digits than its factorization.

2012468900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 850 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 2012468900 is about 44860.5494839285. The cubic root of 2012468900 is about 1262.5339323625.

The spelling of 2012468900 in words is "two billion, twelve million, four hundred sixty-eight thousand, nine hundred".