2011687415760 has 160 divisors (see below), whose sum is σ = 7161222366720. Its totient is φ = 462014323200.

The previous prime is 2011687415713. The next prime is 2011687415761. The reversal of 2011687415760 is 675147861102.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011687415761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20002546 + ... + 20102865.

It is an arithmetic number, because the mean of its divisors is an integer number (44757639792).

Almost surely, 2^{2011687415760} is an apocalyptic number.

2011687415760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2011687415760 is an abundant number, since it is smaller than the sum of its proper divisors (5149534950960).

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

2011687415760 is a wasteful number, since it uses less digits than its factorization.

2011687415760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40105457 (or 40105451 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 48.

The spelling of 2011687415760 in words is "two trillion, eleven billion, six hundred eighty-seven million, four hundred fifteen thousand, seven hundred sixty".