2363883632 has 80 divisors (see below), whose sum is σ = 5278590720. Its totient is φ = 1014220800.

The previous prime is 2363883619. The next prime is 2363883647.

2363883632 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2363883632² = 11175891651275022848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1038848 + ... + 1041120.

It is an arithmetic number, because the mean of its divisors is an integer number (65982384).

Almost surely, 2^2363883632 is an apocalyptic number.

2363883632 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 2363883632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2639295360).

2363883632 is an abundant number, since it is smaller than the sum of its proper divisors (2914707088).

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

2363883632 is a wasteful number, since it uses less digits than its factorization.

2363883632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2622 (or 2616 counting only the distinct ones).

The product of its digits is 746496, while the sum is 44.

The square root of 2363883632 is about 48619.7864248703. The cubic root of 2363883632 is about 1332.1159587265.

The spelling of 2363883632 in words is "two billion, three hundred sixty-three million, eight hundred eighty-three thousand, six hundred thirty-two".