2465813340 has 168 divisors, whose sum is σ = 7912725408. Its totient is φ = 644941440.

The previous prime is 2465813321. The next prime is 2465813359. The reversal of 2465813340 is 433185642.

2465813340 is a `hidden beast` number, since 2 + 4 + 6 + 581 + 33 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (2465813321) and next prime (2465813359).

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

It is a junction number, because it is equal to n+sod(n) for n = 2465813295 and 2465813304.

It is a congruent number.

It is an unprimeable number.

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 55 ways as a sum of consecutive naturals, for example, 771145 + ... + 774335.

It is an arithmetic number, because the mean of its divisors is an integer number (47099556).

Almost surely, 2^2465813340 is an apocalyptic number.

2465813340 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 2465813340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3956362704).

2465813340 is an abundant number, since it is smaller than the sum of its proper divisors (5446912068).

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

2465813340 is a wasteful number, since it uses less digits than its factorization.

2465813340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3271 (or 3254 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 2465813340 is about 49656.9566123418. The cubic root of 2465813340 is about 1350.9939347047.

Adding to 2465813340 its reverse (433185642), we get a palindrome (2898998982).

The spelling of 2465813340 in words is "two billion, four hundred sixty-five million, eight hundred thirteen thousand, three hundred forty".