2461367440 has 160 divisors (see below), whose sum is σ = 7073547264. Its totient is φ = 777216000.

The previous prime is 2461367411. The next prime is 2461367443. The reversal of 2461367440 is 447631642.

It is a self number, because there is not a number n which added to its sum of digits gives 2461367440.

It is not an unprimeable number, because it can be changed into a prime (2461367443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 444690 + ... + 450190.

Almost surely, 2^2461367440 is an apocalyptic number.

2461367440 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 2461367440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3536773632).

2461367440 is an abundant number, since it is smaller than the sum of its proper divisors (4612179824).

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

2461367440 is a wasteful number, since it uses less digits than its factorization.

2461367440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5585 (or 5579 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 37.

The square root of 2461367440 is about 49612.1702810913. The cubic root of 2461367440 is about 1350.1814918317.

The spelling of 2461367440 in words is "two billion, four hundred sixty-one million, three hundred sixty-seven thousand, four hundred forty".