2481882408 has 96 divisors (see below), whose sum is σ = 6969105000. Its totient is φ = 796981248.

The previous prime is 2481882401. The next prime is 2481882427. The reversal of 2481882408 is 8042881842.

It can be written as a sum of positive squares in 4 ways, for example, as 2194172964 + 287709444 = 46842^2 + 16962^2 .

It is not an unprimeable number, because it can be changed into a prime (2481882401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1187028 + ... + 1189116.

Almost surely, 2^2481882408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2481882408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3484552500).

2481882408 is an abundant number, since it is smaller than the sum of its proper divisors (4487222592).

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

2481882408 is a wasteful number, since it uses less digits than its factorization.

2481882408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2699 (or 2692 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 45.

The square root of 2481882408 is about 49818.4946380358. The cubic root of 2481882408 is about 1353.9222755309.

The spelling of 2481882408 in words is "two billion, four hundred eighty-one million, eight hundred eighty-two thousand, four hundred eight".