2609320648392 has 384 divisors, whose sum is σ = 7626415420800. Its totient is φ = 826275340800.

The previous prime is 2609320648381. The next prime is 2609320648411. The reversal of 2609320648392 is 2938460239062.

2609320648392 is a `hidden beast` number, since 2 + 6 + 0 + 9 + 3 + 206 + 48 + 392 = 666.

It is a super-2 number, since 2×2609320648392² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2772922642 + ... + 2772923582.

It is an arithmetic number, because the mean of its divisors is an integer number (19860456825).

Almost surely, 2^{2609320648392} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2609320648392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3813207710400).

2609320648392 is an abundant number, since it is smaller than the sum of its proper divisors (5017094772408).

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

2609320648392 is a wasteful number, since it uses less digits than its factorization.

2609320648392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1226 (or 1173 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 2609320648392 in words is "two trillion, six hundred nine billion, three hundred twenty million, six hundred forty-eight thousand, three hundred ninety-two".