2011005606750 has 384 divisors, whose sum is σ = 5990601576960. Its totient is φ = 447779404800.

The previous prime is 2011005606733. The next prime is 2011005606811. The reversal of 2011005606750 is 576065001102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 684246781 + ... + 684249719.

It is an arithmetic number, because the mean of its divisors is an integer number (15600524940).

Almost surely, 2^{2011005606750} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2011005606750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2995300788480).

2011005606750 is an abundant number, since it is smaller than the sum of its proper divisors (3979595970210).

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

2011005606750 is a wasteful number, since it uses less digits than its factorization.

2011005606750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3449 (or 3432 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 33.

The spelling of 2011005606750 in words is "two trillion, eleven billion, five million, six hundred six thousand, seven hundred fifty".