2609104157856 has 384 divisors, whose sum is σ = 9294703810560. Its totient is φ = 695047827456.

The previous prime is 2609104157833. The next prime is 2609104157909. The reversal of 2609104157856 is 6587514019062.

It is a happy number.

2609104157856 is a `hidden beast` number, since 2 + 6 + 0 + 9 + 10 + 4 + 1 + 578 + 56 = 666.

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 63 ways as a sum of consecutive naturals, for example, 10882731 + ... + 11119893.

It is an arithmetic number, because the mean of its divisors is an integer number (24204957840).

Almost surely, 2^{2609104157856} 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 2609104157856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4647351905280).

2609104157856 is an abundant number, since it is smaller than the sum of its proper divisors (6685599652704).

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

2609104157856 is a wasteful number, since it uses less digits than its factorization.

2609104157856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237313 (or 237299 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 2609104157856 in words is "two trillion, six hundred nine billion, one hundred four million, one hundred fifty-seven thousand, eight hundred fifty-six".