2411889480 has 1024 divisors, whose sum is σ = 11379916800. Its totient is φ = 437944320.

The previous prime is 2411889463. The next prime is 2411889523. The reversal of 2411889480 is 849881142.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 24864792 + ... + 24864888.

It is an arithmetic number, because the mean of its divisors is an integer number (11113200).

Almost surely, 2^2411889480 is an apocalyptic number.

2411889480 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 2411889480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5689958400).

2411889480 is an abundant number, since it is smaller than the sum of its proper divisors (8968027320).

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

2411889480 is a wasteful number, since it uses less digits than its factorization.

2411889480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The square root of 2411889480 is about 49110.9914377627. The cubic root of 2411889480 is about 1341.0731508725.

The spelling of 2411889480 in words is "two billion, four hundred eleven million, eight hundred eighty-nine thousand, four hundred eighty".