2609296272 has 360 divisors, whose sum is σ = 8891430912. Its totient is φ = 709969920.

The previous prime is 2609296247. The next prime is 2609296273. The reversal of 2609296272 is 2726929062.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2609296273) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6812593 + ... + 6812975.

Almost surely, 2^2609296272 is an apocalyptic number.

2609296272 is a gapful number since it is divisible by the number (22) 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 2609296272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4445715456).

2609296272 is an abundant number, since it is smaller than the sum of its proper divisors (6282134640).

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

2609296272 is a wasteful number, since it uses less digits than its factorization.

2609296272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 2609296272 is about 51081.2712449485. The cubic root of 2609296272 is about 1376.7057656923.

The spelling of 2609296272 in words is "two billion, six hundred nine million, two hundred ninety-six thousand, two hundred seventy-two".