2604163322880 has 1760 divisors, whose sum is σ = 11596031631360. Its totient is φ = 545360117760.

The previous prime is 2604163322857. The next prime is 2604163322927. The reversal of 2604163322880 is 882233614062.

2604163322880 is a `hidden beast` number, since 2 + 6 + 0 + 4 + 1 + 633 + 2 + 2 + 8 + 8 + 0 = 666.

It is a super-2 number, since 2×2604163322880² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1709889799 + ... + 1709891321.

It is an arithmetic number, because the mean of its divisors is an integer number (6588654336).

Almost surely, 2^{2604163322880} is an apocalyptic number.

2604163322880 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 2604163322880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5798015815680).

2604163322880 is an abundant number, since it is smaller than the sum of its proper divisors (8991868308480).

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

2604163322880 is a wasteful number, since it uses less digits than its factorization.

2604163322880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1617 (or 1590 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 2604163322880 in words is "two trillion, six hundred four billion, one hundred sixty-three million, three hundred twenty-two thousand, eight hundred eighty".