2617541120 has 160 divisors (see below), whose sum is σ = 6467586048. Its totient is φ = 1015676928.

The previous prime is 2617541089. The next prime is 2617541123. The reversal of 2617541120 is 211457162.

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (2617541123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20610497 + ... + 20610623.

Almost surely, 2^2617541120 is an apocalyptic number.

2617541120 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 2617541120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3233793024).

2617541120 is an abundant number, since it is smaller than the sum of its proper divisors (3850044928).

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

2617541120 is an equidigital number, since it uses as much as digits as its factorization.

2617541120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 29.

The square root of 2617541120 is about 51161.9108321806. The cubic root of 2617541120 is about 1378.1542782673.

Adding to 2617541120 its reverse (211457162), we get a palindrome (2828998282).

The spelling of 2617541120 in words is "two billion, six hundred seventeen million, five hundred forty-one thousand, one hundred twenty".