2609948544 has 192 divisors, whose sum is σ = 8204716800. Its totient is φ = 732748800.

The previous prime is 2609948543. The next prime is 2609948557. The reversal of 2609948544 is 4458499062.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×2609948544³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2609948543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1108969 + ... + 1111319.

It is an arithmetic number, because the mean of its divisors is an integer number (42732900).

Almost surely, 2^2609948544 is an apocalyptic number.

2609948544 is a gapful number since it is divisible by the number (24) 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 2609948544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4102358400).

2609948544 is an abundant number, since it is smaller than the sum of its proper divisors (5594768256).

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

2609948544 is a wasteful number, since it uses less digits than its factorization.

2609948544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2441 (or 2422 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

The square root of 2609948544 is about 51087.6554952368. The cubic root of 2609948544 is about 1376.8204724578.

The spelling of 2609948544 in words is "two billion, six hundred nine million, nine hundred forty-eight thousand, five hundred forty-four".