2609192632320 has 384 divisors, whose sum is σ = 9380208572280. Its totient is φ = 695784701952.

The previous prime is 2609192632307. The next prime is 2609192632327. The reversal of 2609192632320 is 232362919062.

It is a Jordan-Polya number, since it can be written as 6! ⋅ (4!)³ ⋅ (2!)¹⁸.

2609192632320 is a `hidden beast` number, since 2 + 6 + 0 + 9 + 1 + 9 + 2 + 632 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2609192632327) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 521838526462 + ... + 521838526466.

Almost surely, 2^{2609192632320} is an apocalyptic number.

2609192632320 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 2609192632320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4690104286140).

2609192632320 is an abundant number, since it is smaller than the sum of its proper divisors (6771015939960).

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

2609192632320 is an frugal number, since it uses more digits than its factorization.

2609192632320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 2609192632320 in words is "two trillion, six hundred nine billion, one hundred ninety-two million, six hundred thirty-two thousand, three hundred twenty".