2411464440 has 384 divisors, whose sum is σ = 9585630720. Its totient is φ = 479001600.

The previous prime is 2411464423. The next prime is 2411464441. The reversal of 2411464440 is 444641142.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2411464398 and 2411464407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2411464441) 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 95 ways as a sum of consecutive naturals, for example, 1486830 + ... + 1488450.

It is an arithmetic number, because the mean of its divisors is an integer number (24962580).

Almost surely, 2^2411464440 is an apocalyptic number.

2411464440 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 2411464440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4792815360).

2411464440 is an abundant number, since it is smaller than the sum of its proper divisors (7174166280).

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

2411464440 is a wasteful number, since it uses less digits than its factorization.

2411464440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1683 (or 1672 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The square root of 2411464440 is about 49106.6639062358. The cubic root of 2411464440 is about 1340.9943684872.

The spelling of 2411464440 in words is "two billion, four hundred eleven million, four hundred sixty-four thousand, four hundred forty".