2011377070080 has 2080 divisors, whose sum is σ = 9124944897024. Its totient is φ = 412952297472.

The previous prime is 2011377070049. The next prime is 2011377070099. The reversal of 2011377070080 is 800707731102.

It is a happy number.

2011377070080 is a `hidden beast` number, since 201 + 1 + 377 + 0 + 7 + 0 + 0 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4540354339 + ... + 4540354781.

Almost surely, 2^{2011377070080} is an apocalyptic number.

2011377070080 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 2011377070080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4562472448512).

2011377070080 is an abundant number, since it is smaller than the sum of its proper divisors (7113567826944).

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

2011377070080 is a wasteful number, since it uses less digits than its factorization.

2011377070080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 36.

The spelling of 2011377070080 in words is "two trillion, eleven billion, three hundred seventy-seven million, seventy thousand, eighty".