2361217120 has 96 divisors (see below), whose sum is σ = 5850623520. Its totient is φ = 899297280.

The previous prime is 2361217093. The next prime is 2361217121. The reversal of 2361217120 is 217121632.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2361217121) 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 15 ways as a sum of consecutive naturals, for example, 335235 + ... + 342205.

It is an arithmetic number, because the mean of its divisors is an integer number (60943995).

Almost surely, 2^2361217120 is an apocalyptic number.

2361217120 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 2361217120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2925311760).

2361217120 is an abundant number, since it is smaller than the sum of its proper divisors (3489406400).

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

2361217120 is a wasteful number, since it uses less digits than its factorization.

2361217120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7088 (or 7080 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 2361217120 is about 48592.3566006013. The cubic root of 2361217120 is about 1331.6148850420.

Adding to 2361217120 its reverse (217121632), we get a palindrome (2578338752).

The spelling of 2361217120 in words is "two billion, three hundred sixty-one million, two hundred seventeen thousand, one hundred twenty".