2679548872536 has 192 divisors, whose sum is σ = 7544483856000. Its totient is φ = 858127011840.

The previous prime is 2679548872531. The next prime is 2679548872549. The reversal of 2679548872536 is 6352788459762.

2679548872536 is a `hidden beast` number, since 2 + 6 + 7 + 9 + 5 + 4 + 8 + 87 + 2 + 536 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2679548872531) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 539250660 + ... + 539255628.

It is an arithmetic number, because the mean of its divisors is an integer number (39294186750).

Almost surely, 2^{2679548872536} 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 2679548872536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3772241928000).

2679548872536 is an abundant number, since it is smaller than the sum of its proper divisors (4864934983464).

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

2679548872536 is a wasteful number, since it uses less digits than its factorization.

2679548872536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6234 (or 6227 counting only the distinct ones).

The product of its digits is 1219276800, while the sum is 72.

The spelling of 2679548872536 in words is "two trillion, six hundred seventy-nine billion, five hundred forty-eight million, eight hundred seventy-two thousand, five hundred thirty-six".