2305214520 has 256 divisors, whose sum is σ = 8515584000. Its totient is φ = 487420416.

The previous prime is 2305214507. The next prime is 2305214521. The reversal of 2305214520 is 254125032.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2305214521) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 684601 + ... + 687959.

It is an arithmetic number, because the mean of its divisors is an integer number (33264000).

Almost surely, 2^2305214520 is an apocalyptic number.

2305214520 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 2305214520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4257792000).

2305214520 is an abundant number, since it is smaller than the sum of its proper divisors (6210369480).

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

2305214520 is a wasteful number, since it uses less digits than its factorization.

2305214520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3442 (or 3438 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 2305214520 is about 48012.6495832088. The cubic root of 2305214520 is about 1321.0029338310.

Adding to 2305214520 its reverse (254125032), we get a palindrome (2559339552).

The spelling of 2305214520 in words is "two billion, three hundred five million, two hundred fourteen thousand, five hundred twenty".