2502881338248 has 160 divisors (see below), whose sum is σ = 7048487160000. Its totient is φ = 829770065280.

The previous prime is 2502881338183. The next prime is 2502881338277. The reversal of 2502881338248 is 8428331882052.

2502881338248 is a `hidden beast` number, since 2 + 5 + 0 + 288 + 1 + 338 + 24 + 8 = 666.

2502881338248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2502881338194 and 2502881338203.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 104400903 + ... + 104424873.

It is an arithmetic number, because the mean of its divisors is an integer number (44053044750).

Almost surely, 2^{2502881338248} 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 2502881338248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3524243580000).

2502881338248 is an abundant number, since it is smaller than the sum of its proper divisors (4545605821752).

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

2502881338248 is a wasteful number, since it uses less digits than its factorization.

2502881338248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24857 (or 24844 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 2502881338248 in words is "two trillion, five hundred two billion, eight hundred eighty-one million, three hundred thirty-eight thousand, two hundred forty-eight".