2361441632 has 96 divisors (see below), whose sum is σ = 5180402304. Its totient is φ = 1050649600.

The previous prime is 2361441587. The next prime is 2361441689.

2361441632 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3826988 + ... + 3827604.

It is an arithmetic number, because the mean of its divisors is an integer number (53962524).

Almost surely, 2^2361441632 is an apocalyptic number.

2361441632 is a gapful number since it is divisible by the number (22) 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 2361441632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2590201152).

2361441632 is an abundant number, since it is smaller than the sum of its proper divisors (2818960672).

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

2361441632 is a wasteful number, since it uses less digits than its factorization.

2361441632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 844 counting only the distinct ones).

The product of its digits is 20736, while the sum is 32.

The square root of 2361441632 is about 48594.6667032505. Note that the first 3 decimals coincide. The cubic root of 2361441632 is about 1331.6570884243.

The spelling of 2361441632 in words is "two billion, three hundred sixty-one million, four hundred forty-one thousand, six hundred thirty-two".