2258520210 has 96 divisors (see below), whose sum is σ = 6227947440. Its totient is φ = 565899264.

The previous prime is 2258520179. The next prime is 2258520211. The reversal of 2258520210 is 120258522.

It can be written as a sum of positive squares in 8 ways, for example, as 1385849529 + 872670681 = 37227^2 + 29541^2 .

It is not an unprimeable number, because it can be changed into a prime (2258520211) 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 47 ways as a sum of consecutive naturals, for example, 1579776 + ... + 1581204.

Almost surely, 2^2258520210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2258520210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3113973720).

2258520210 is an abundant number, since it is smaller than the sum of its proper divisors (3969427230).

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

2258520210 is a wasteful number, since it uses less digits than its factorization.

2258520210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2492 (or 2489 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 2258520210 is about 47523.8909391897. The cubic root of 2258520210 is about 1312.0226334739.

Adding to 2258520210 its reverse (120258522), we get a palindrome (2378778732).

The spelling of 2258520210 in words is "two billion, two hundred fifty-eight million, five hundred twenty thousand, two hundred ten".