2488848768000 has 3168 divisors, whose sum is σ = 11448864580608. Its totient is φ = 536481792000.

The previous prime is 2488848767987. The next prime is 2488848768059. The reversal of 2488848768000 is 8678488842.

2488848768000 is a `hidden beast` number, since 2 + 488 + 8 + 4 + 8 + 76 + 80 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 35054207965 + ... + 35054208035.

Almost surely, 2^{2488848768000} is an apocalyptic number.

2488848768000 is a gapful number since it is divisible by the number (20) 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 2488848768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5724432290304).

2488848768000 is an abundant number, since it is smaller than the sum of its proper divisors (8960015812608).

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

2488848768000 is an equidigital number, since it uses as much as digits as its factorization.

2488848768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 44040192, while the sum is 63.

The spelling of 2488848768000 in words is "two trillion, four hundred eighty-eight billion, eight hundred forty-eight million, seven hundred sixty-eight thousand".