2231763408 has 480 divisors, whose sum is σ = 8142336000. Its totient is φ = 581333760.

The previous prime is 2231763403. The next prime is 2231763431. The reversal of 2231763408 is 8043671322.

It is a happy number.

2231763408 is a `hidden beast` number, since 2 + 2 + 3 + 17 + 634 + 0 + 8 = 666.

It is a super-3 number, since 3×2231763408³ (a number of 29 digits) contains 333 as substring.

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 (2231763403) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12467863 + ... + 12468041.

It is an arithmetic number, because the mean of its divisors is an integer number (16963200).

Almost surely, 2^2231763408 is an apocalyptic number.

2231763408 is a gapful number since it is divisible by the number (28) 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 2231763408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4071168000).

2231763408 is an abundant number, since it is smaller than the sum of its proper divisors (5910572592).

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

2231763408 is a wasteful number, since it uses less digits than its factorization.

2231763408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 2231763408 is about 47241.5432432091. The cubic root of 2231763408 is about 1306.8208378180.

The spelling of 2231763408 in words is "two billion, two hundred thirty-one million, seven hundred sixty-three thousand, four hundred eight".