2604189062500 has 81 divisors (see below), whose sum is σ = 5701076670891. Its totient is φ = 1040868750000.

The previous prime is 2604189062483. The next prime is 2604189062509. The reversal of 2604189062500 is 52609814062.

The square root of 2604189062500 is 1613750.

It is a perfect power (a square), and thus also a powerful number.

2604189062500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1851542589796 + 752646472704 = 1360714^2 + 867552^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2604189062509) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2017186855 + ... + 2017188145.

Almost surely, 2^{2604189062500} is an apocalyptic number.

2604189062500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2604189062500 is the 1613750-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2604189062500

2604189062500 is an abundant number, since it is smaller than the sum of its proper divisors (3096887608391).

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

2604189062500 is an frugal number, since it uses more digits than its factorization.

2604189062500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2626 (or 1298 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 43.

The spelling of 2604189062500 in words is "two trillion, six hundred four billion, one hundred eighty-nine million, sixty-two thousand, five hundred".