2488154006016 has 960 divisors, whose sum is σ = 8687374924800. Its totient is φ = 684745850880.

The previous prime is 2488154006003. The next prime is 2488154006021. The reversal of 2488154006016 is 6106004518842.

It is a happy number.

2488154006016 is a `hidden beast` number, since 2 + 48 + 8 + 1 + 540 + 0 + 60 + 1 + 6 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9181379961 + ... + 9181380231.

It is an arithmetic number, because the mean of its divisors is an integer number (9049348880).

Almost surely, 2^{2488154006016} 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 2488154006016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4343687462400).

2488154006016 is an abundant number, since it is smaller than the sum of its proper divisors (6199220918784).

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

2488154006016 is a wasteful number, since it uses less digits than its factorization.

2488154006016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 2488154006016 in words is "two trillion, four hundred eighty-eight billion, one hundred fifty-four million, six thousand, sixteen".