2411318880 has 288 divisors, whose sum is σ = 8944266240. Its totient is φ = 589317120.

The previous prime is 2411318867. The next prime is 2411318881. The reversal of 2411318880 is 888131142.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2411318881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 846739 + ... + 849581.

It is an arithmetic number, because the mean of its divisors is an integer number (31056480).

Almost surely, 2^2411318880 is an apocalyptic number.

2411318880 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 2411318880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4472133120).

2411318880 is an abundant number, since it is smaller than the sum of its proper divisors (6532947360).

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

2411318880 is a wasteful number, since it uses less digits than its factorization.

2411318880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2914 (or 2903 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 2411318880 is about 49105.1818039604. The cubic root of 2411318880 is about 1340.9673863949.

The spelling of 2411318880 in words is "two billion, four hundred eleven million, three hundred eighteen thousand, eight hundred eighty".