2011631638960 has 160 divisors (see below), whose sum is σ = 5129633111040. Its totient is φ = 730248658944.

The previous prime is 2011631638957. The next prime is 2011631639093. The reversal of 2011631638960 is 698361361102.

It is a self number, because there is not a number n which added to its sum of digits gives 2011631638960.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30454129 + ... + 30520111.

It is an arithmetic number, because the mean of its divisors is an integer number (32060206944).

Almost surely, 2^{2011631638960} is an apocalyptic number.

2011631638960 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 2011631638960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2564816555520).

2011631638960 is an abundant number, since it is smaller than the sum of its proper divisors (3118001472080).

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

2011631638960 is a wasteful number, since it uses less digits than its factorization.

2011631638960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66815 (or 66809 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 46.

The spelling of 2011631638960 in words is "two trillion, eleven billion, six hundred thirty-one million, six hundred thirty-eight thousand, nine hundred sixty".