2413321440 has 96 divisors (see below), whose sum is σ = 7610029056. Its totient is φ = 642869760.

The previous prime is 2413321433. The next prime is 2413321447. The reversal of 2413321440 is 441233142.

2413321440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2413321433) and next prime (2413321447).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2413321440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2413321447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 584985 + ... + 589095.

It is an arithmetic number, because the mean of its divisors is an integer number (79271136).

Almost surely, 2^2413321440 is an apocalyptic number.

2413321440 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 2413321440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3805014528).

2413321440 is an abundant number, since it is smaller than the sum of its proper divisors (5196707616).

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

2413321440 is a wasteful number, since it uses less digits than its factorization.

2413321440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5352 (or 5344 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2413321440 is about 49125.5680883183. The cubic root of 2413321440 is about 1341.3385006746.

Adding to 2413321440 its reverse (441233142), we get a palindrome (2854554582).

The spelling of 2413321440 in words is "two billion, four hundred thirteen million, three hundred twenty-one thousand, four hundred forty".