2604438577280 has 128 divisors (see below), whose sum is σ = 6308500590000. Its totient is φ = 1028072669184.

The previous prime is 2604438577277. The next prime is 2604438577283. The reversal of 2604438577280 is 827758344062.

It is an interprime number because it is at equal distance from previous prime (2604438577277) and next prime (2604438577283).

It can be written as a sum of positive squares in 8 ways, for example, as 675828679744 + 1928609897536 = 822088^2 + 1388744^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (2604438577283) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21605816 + ... + 21726024.

Almost surely, 2^{2604438577280} is an apocalyptic number.

2604438577280 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 2604438577280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3154250295000).

2604438577280 is an abundant number, since it is smaller than the sum of its proper divisors (3704062012720).

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

2604438577280 is a wasteful number, since it uses less digits than its factorization.

2604438577280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120674 (or 120662 counting only the distinct ones).

The product of its (nonzero) digits is 18063360, while the sum is 56.

The spelling of 2604438577280 in words is "two trillion, six hundred four billion, four hundred thirty-eight million, five hundred seventy-seven thousand, two hundred eighty".