2604795367440 has 160 divisors (see below), whose sum is σ = 9244415105280. Its totient is φ = 594349719552.

The previous prime is 2604795367417. The next prime is 2604795367441. The reversal of 2604795367440 is 447635974062.

It is a super-2 number, since 2×2604795367440² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2604795367441) 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 31 ways as a sum of consecutive naturals, for example, 374205 + ... + 2312924.

It is an arithmetic number, because the mean of its divisors is an integer number (57777594408).

Almost surely, 2^{2604795367440} is an apocalyptic number.

2604795367440 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 2604795367440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4622207552640).

2604795367440 is an abundant number, since it is smaller than the sum of its proper divisors (6639619737840).

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

2604795367440 is a wasteful number, since it uses less digits than its factorization.

2604795367440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2687729 (or 2687723 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 57.

The spelling of 2604795367440 in words is "two trillion, six hundred four billion, seven hundred ninety-five million, three hundred sixty-seven thousand, four hundred forty".