2609917794576 has 135 divisors (see below), whose sum is σ = 7429214176293. Its totient is φ = 855323026560.

The previous prime is 2609917794503. The next prime is 2609917794581. The reversal of 2609917794576 is 6754977199062.

The square root of 2609917794576 is 1615524.

It is a perfect power (a square), and thus also a powerful number.

2609917794576 is a `hidden beast` number, since 2 + 6 + 0 + 99 + 17 + 79 + 457 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 84869672976 + 2525048121600 = 291324^2 + 1589040^2 .

It is a super-3 number, since 3×2609917794576³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1182562465 + ... + 1182564671.

Almost surely, 2^{2609917794576} is an apocalyptic number.

2609917794576 is the 1615524-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2609917794576

2609917794576 is an abundant number, since it is smaller than the sum of its proper divisors (4819296381717).

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

2609917794576 is an frugal number, since it uses more digits than its factorization.

2609917794576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4550 (or 2273 counting only the distinct ones).

The product of its (nonzero) digits is 360067680, while the sum is 72.

The spelling of 2609917794576 in words is "two trillion, six hundred nine billion, nine hundred seventeen million, seven hundred ninety-four thousand, five hundred seventy-six".