2489817034656 has 1728 divisors, whose sum is σ = 9726399648000. Its totient is φ = 617149145088.

The previous prime is 2489817034633. The next prime is 2489817034681. The reversal of 2489817034656 is 6564307189842.

2489817034656 is a `hidden beast` number, since 2 + 489 + 8 + 1 + 70 + 34 + 6 + 56 = 666.

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 = 2489817034593 and 2489817034602.

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, 67292352270 + ... + 67292352306.

It is an arithmetic number, because the mean of its divisors is an integer number (5628703500).

It is a 1-persistent number, because it is pandigital, but 2⋅2489817034656 = 4979634069312 is not.

Almost surely, 2^{2489817034656} 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 2489817034656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4863199824000).

2489817034656 is an abundant number, since it is smaller than the sum of its proper divisors (7236582613344).

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

2489817034656 is a wasteful number, since it uses less digits than its factorization.

2489817034656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 2489817034656 in words is "two trillion, four hundred eighty-nine billion, eight hundred seventeen million, thirty-four thousand, six hundred fifty-six".