2011616000000 has 336 divisors, whose sum is σ = 5166672147000. Its totient is φ = 782438400000.

The previous prime is 2011615999969. The next prime is 2011616000011. The reversal of 2011616000000 is 6161102.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1183999151 + ... + 1184000849.

Almost surely, 2^{2011616000000} is an apocalyptic number.

2011616000000 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 2011616000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2583336073500).

2011616000000 is an abundant number, since it is smaller than the sum of its proper divisors (3155056147000).

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

2011616000000 is an frugal number, since it uses more digits than its factorization.

2011616000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1788 (or 1743 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The spelling of 2011616000000 in words is "two trillion, eleven billion, six hundred sixteen million", and thus it is an aban number.