2609338423680 has 256 divisors, whose sum is σ = 9314181734400. Its totient is φ = 690344073216.

The previous prime is 2609338423649. The next prime is 2609338423717. The reversal of 2609338423680 is 863248339062.

2609338423680 is a `hidden beast` number, since 2 + 609 + 3 + 3 + 8 + 4 + 23 + 6 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 31 ways as a sum of consecutive naturals, for example, 1600059 + ... + 2789061.

It is an arithmetic number, because the mean of its divisors is an integer number (36383522400).

Almost surely, 2^{2609338423680} is an apocalyptic number.

2609338423680 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 2609338423680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4657090867200).

2609338423680 is an abundant number, since it is smaller than the sum of its proper divisors (6704843310720).

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

2609338423680 is a wasteful number, since it uses less digits than its factorization.

2609338423680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1189158 (or 1189140 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 2609338423680 in words is "two trillion, six hundred nine billion, three hundred thirty-eight million, four hundred twenty-three thousand, six hundred eighty".