2487290727168 has 720 divisors, whose sum is σ = 8551078905600. Its totient is φ = 712664801280.

The previous prime is 2487290727161. The next prime is 2487290727169. The reversal of 2487290727168 is 8617270927842.

2487290727168 is a `hidden beast` number, since 2 + 487 + 2 + 90 + 7 + 2 + 7 + 1 + 68 = 666.

It is a super-2 number, since 2×2487290727168² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2487290727161) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 302181613 + ... + 302189843.

It is an arithmetic number, because the mean of its divisors is an integer number (11876498480).

Almost surely, 2^{2487290727168} 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 2487290727168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4275539452800).

2487290727168 is an abundant number, since it is smaller than the sum of its proper divisors (6063788178432).

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

2487290727168 is a wasteful number, since it uses less digits than its factorization.

2487290727168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8350 (or 8327 counting only the distinct ones).

The product of its (nonzero) digits is 37933056, while the sum is 63.

The spelling of 2487290727168 in words is "two trillion, four hundred eighty-seven billion, two hundred ninety million, seven hundred twenty-seven thousand, one hundred sixty-eight".