2481833088 has 256 divisors, whose sum is σ = 8433849600. Its totient is φ = 703807488.

The previous prime is 2481833087. The next prime is 2481833093. The reversal of 2481833088 is 8803381842.

It is not an unprimeable number, because it can be changed into a prime (2481833087) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4184920 + ... + 4185512.

It is an arithmetic number, because the mean of its divisors is an integer number (32944725).

Almost surely, 2^2481833088 is an apocalyptic number.

2481833088 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 2481833088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4216924800).

2481833088 is an abundant number, since it is smaller than the sum of its proper divisors (5952016512).

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

2481833088 is a wasteful number, since it uses less digits than its factorization.

2481833088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 2481833088 is about 49817.9996386848. Note that the first 3 decimals coincide. The cubic root of 2481833088 is about 1353.9133070844.

The spelling of 2481833088 in words is "two billion, four hundred eighty-one million, eight hundred thirty-three thousand, eighty-eight".