2113951632 has 160 divisors (see below), whose sum is σ = 6255849600. Its totient is φ = 609361920.

The previous prime is 2113951627. The next prime is 2113951633. The reversal of 2113951632 is 2361593112.

It is a junction number, because it is equal to n+sod(n) for n = 2113951593 and 2113951602.

It is not an unprimeable number, because it can be changed into a prime (2113951633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3701907 + ... + 3702477.

It is an arithmetic number, because the mean of its divisors is an integer number (39099060).

Almost surely, 2^2113951632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2113951632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3127924800).

2113951632 is an abundant number, since it is smaller than the sum of its proper divisors (4141897968).

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

2113951632 is a wasteful number, since it uses less digits than its factorization.

2113951632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961 (or 955 counting only the distinct ones).

The product of its digits is 9720, while the sum is 33.

The square root of 2113951632 is about 45977.7297395163. The cubic root of 2113951632 is about 1283.4088077199.

It can be divided in two parts, 21139 and 51632, that added together give a triangular number (72771 = T₃₈₁).

The spelling of 2113951632 in words is "two billion, one hundred thirteen million, nine hundred fifty-one thousand, six hundred thirty-two".