2489042110464 has 2304 divisors, whose sum is σ = 10060771069440. Its totient is φ = 596241285120.

The previous prime is 2489042110421. The next prime is 2489042110523. The reversal of 2489042110464 is 4640112409842.

2489042110464 is a `hidden beast` number, since 2 + 489 + 0 + 4 + 2 + 1 + 104 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-3 number, since 3×2489042110464³ (a number of 38 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 40803968994 + ... + 40803969054.

It is an arithmetic number, because the mean of its divisors is an integer number (4366654110).

Almost surely, 2^{2489042110464} is an apocalyptic number.

2489042110464 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 2489042110464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5030385534720).

2489042110464 is an abundant number, since it is smaller than the sum of its proper divisors (7571728958976).

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

2489042110464 is a wasteful number, since it uses less digits than its factorization.

2489042110464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 2489042110464 in words is "two trillion, four hundred eighty-nine billion, forty-two million, one hundred ten thousand, four hundred sixty-four".