2263632480 has 192 divisors, whose sum is σ = 8021764800. Its totient is φ = 603542016.

The previous prime is 2263632479. The next prime is 2263632487. The reversal of 2263632480 is 842363622.

2263632480 is a `hidden beast` number, since 226 + 36 + 324 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2263632487) 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, 346686 + ... + 353154.

It is an arithmetic number, because the mean of its divisors is an integer number (41780025).

Almost surely, 2^2263632480 is an apocalyptic number.

2263632480 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 2263632480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4010882400).

2263632480 is an abundant number, since it is smaller than the sum of its proper divisors (5758132320).

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

2263632480 is an frugal number, since it uses more digits than its factorization.

2263632480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6505 (or 6479 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 2263632480 is about 47577.6468522772. The cubic root of 2263632480 is about 1313.0118297658.

The spelling of 2263632480 in words is "two billion, two hundred sixty-three million, six hundred thirty-two thousand, four hundred eighty".