2012138962624 has 112 divisors (see below), whose sum is σ = 4677184382976. Its totient is φ = 840836966400.

The previous prime is 2012138962571. The next prime is 2012138962627. The reversal of 2012138962624 is 4262698312102.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (2012138962627) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33454819 + ... + 33514909.

It is an arithmetic number, because the mean of its divisors is an integer number (41760574848).

Almost surely, 2^{2012138962624} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2012138962624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2338592191488).

2012138962624 is an abundant number, since it is smaller than the sum of its proper divisors (2665045420352).

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

2012138962624 is a wasteful number, since it uses less digits than its factorization.

2012138962624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61974 (or 61964 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 46.

The spelling of 2012138962624 in words is "two trillion, twelve billion, one hundred thirty-eight million, nine hundred sixty-two thousand, six hundred twenty-four".