2012868144 has 280 divisors, whose sum is σ = 6782021280. Its totient is φ = 566590464.

The previous prime is 2012868139. The next prime is 2012868149. The reversal of 2012868144 is 4418682102.

It is an interprime number because it is at equal distance from previous prime (2012868139) and next prime (2012868149).

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

It is a zygodrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 2012868099 and 2012868108.

It is not an unprimeable number, because it can be changed into a prime (2012868149) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 7266534 + ... + 7266810.

Almost surely, 2^2012868144 is an apocalyptic number.

2012868144 is a gapful number since it is divisible by the number (24) 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 2012868144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3391010640).

2012868144 is an abundant number, since it is smaller than the sum of its proper divisors (4769153136).

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

2012868144 is an equidigital number, since it uses as much as digits as its factorization.

2012868144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 2012868144 is about 44864.9990972919. Note that the first 3 decimals coincide. The cubic root of 2012868144 is about 1262.6174161815.

The spelling of 2012868144 in words is "two billion, twelve million, eight hundred sixty-eight thousand, one hundred forty-four".