2604686136000 has 1344 divisors, whose sum is σ = 9959077140480. Its totient is φ = 597793996800.

The previous prime is 2604686135983. The next prime is 2604686136001. The reversal of 2604686136000 is 6316864062.

It is a super-2 number, since 2×2604686136000² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2604686136001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5625671769 + ... + 5625672231.

Almost surely, 2^{2604686136000} is an apocalyptic number.

2604686136000 is a gapful number since it is divisible by the number (20) 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 2604686136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4979538570240).

2604686136000 is an abundant number, since it is smaller than the sum of its proper divisors (7354391004480).

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

2604686136000 is a wasteful number, since it uses less digits than its factorization.

2604686136000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 2604686136000 in words is "two trillion, six hundred four billion, six hundred eighty-six million, one hundred thirty-six thousand".