2498587064064 has 864 divisors, whose sum is σ = 9482697967680. Its totient is φ = 642849177600.

The previous prime is 2498587064063. The next prime is 2498587064089. The reversal of 2498587064064 is 4604607858942.

2498587064064 is a `hidden beast` number, since 2 + 4 + 9 + 8 + 587 + 0 + 6 + 40 + 6 + 4 = 666.

2498587064064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a junction number, because it is equal to n+sod(n) for n = 2498587063992 and 2498587064010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2498587064063) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 180513784 + ... + 180527624.

It is an arithmetic number, because the mean of its divisors is an integer number (10975344870).

Almost surely, 2^{2498587064064} is an apocalyptic number.

2498587064064 is a gapful number since it is divisible by the number (24) 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 2498587064064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4741348983840).

2498587064064 is an abundant number, since it is smaller than the sum of its proper divisors (6984110903616).

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

2498587064064 is a wasteful number, since it uses less digits than its factorization.

2498587064064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13934 (or 13907 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 2498587064064 in words is "two trillion, four hundred ninety-eight billion, five hundred eighty-seven million, sixty-four thousand, sixty-four".