2245385610 has 448 divisors, whose sum is σ = 7271510400. Its totient is φ = 493807104.

The previous prime is 2245385587. The next prime is 2245385617. The reversal of 2245385610 is 165835422.

2245385610 is a `hidden beast` number, since 2 + 2 + 4 + 5 + 38 + 5 + 610 = 666.

It is not an unprimeable number, because it can be changed into a prime (2245385617) by changing a digit.

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 223 ways as a sum of consecutive naturals, for example, 52218249 + ... + 52218291.

It is an arithmetic number, because the mean of its divisors is an integer number (16231050).

Almost surely, 2^2245385610 is an apocalyptic number.

It is a pronic number, being equal to 47385×47386.

It is a practical number, because each smaller number is the sum of distinct divisors of 2245385610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3635755200).

2245385610 is an abundant number, since it is smaller than the sum of its proper divisors (5026124790).

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

2245385610 is a wasteful number, since it uses less digits than its factorization.

2245385610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 2245385610 is about 47385.4999973621. The cubic root of 2245385610 is about 1309.4742971538.

The spelling of 2245385610 in words is "two billion, two hundred forty-five million, three hundred eighty-five thousand, six hundred ten".