2011061670000 has 400 divisors, whose sum is σ = 6623955280800. Its totient is φ = 525477888000.

The previous prime is 2011061669987. The next prime is 2011061670017. The reversal of 2011061670000 is 761601102.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 343827076 + ... + 343832924.

It is an arithmetic number, because the mean of its divisors is an integer number (16559888202).

Almost surely, 2^{2011061670000} is an apocalyptic number.

2011061670000 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 2011061670000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3311977640400).

2011061670000 is an abundant number, since it is smaller than the sum of its proper divisors (4612893610800).

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

2011061670000 is a wasteful number, since it uses less digits than its factorization.

2011061670000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6110 (or 6089 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The spelling of 2011061670000 in words is "two trillion, eleven billion, sixty-one million, six hundred seventy thousand".