2012138640 has 240 divisors, whose sum is σ = 6996570048. Its totient is φ = 517929984.

The previous prime is 2012138633. The next prime is 2012138641. The reversal of 2012138640 is 468312102.

2012138640 is a `hidden beast` number, since 2 + 0 + 1 + 2 + 13 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (2012138641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2556327 + ... + 2557113.

Almost surely, 2^2012138640 is an apocalyptic number.

2012138640 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 2012138640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3498285024).

2012138640 is an abundant number, since it is smaller than the sum of its proper divisors (4984431408).

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

2012138640 is a wasteful number, since it uses less digits than its factorization.

2012138640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2012138640 is about 44856.8683704068. The cubic root of 2012138640 is about 1262.4648650811.

The spelling of 2012138640 in words is "two billion, twelve million, one hundred thirty-eight thousand, six hundred forty".