2488882368 has 336 divisors, whose sum is σ = 8135672832. Its totient is φ = 657100800.

The previous prime is 2488882313. The next prime is 2488882387. The reversal of 2488882368 is 8632888842.

It is a tau number, because it is divible by the number of its divisors (336).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52954921 + ... + 52954967.

It is an arithmetic number, because the mean of its divisors is an integer number (24213312).

Almost surely, 2^2488882368 is an apocalyptic number.

2488882368 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 2488882368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4067836416).

2488882368 is an abundant number, since it is smaller than the sum of its proper divisors (5646790464).

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

2488882368 is a wasteful number, since it uses less digits than its factorization.

2488882368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 131 counting only the distinct ones).

The product of its digits is 9437184, while the sum is 57.

The square root of 2488882368 is about 49888.6998026607. The cubic root of 2488882368 is about 1355.1939588817.

The spelling of 2488882368 in words is "two billion, four hundred eighty-eight million, eight hundred eighty-two thousand, three hundred sixty-eight".