2482817089536 has 540 divisors, whose sum is σ = 8473319714496. Its totient is φ = 686218936320.

The previous prime is 2482817089471. The next prime is 2482817089541. The reversal of 2482817089536 is 6359807182842.

2482817089536 is a `hidden beast` number, since 2 + 4 + 8 + 2 + 8 + 17 + 0 + 89 + 536 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 991935261 + ... + 991937763.

It is a 1-persistent number, because it is pandigital, but 2⋅2482817089536 = 4965634179072 is not.

Almost surely, 2^{2482817089536} 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 2482817089536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4236659857248).

2482817089536 is an abundant number, since it is smaller than the sum of its proper divisors (5990502624960).

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

2482817089536 is an equidigital number, since it uses as much as digits as its factorization.

2482817089536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2606 (or 2546 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 2482817089536 in words is "two trillion, four hundred eighty-two billion, eight hundred seventeen million, eighty-nine thousand, five hundred thirty-six".