2262725010 has 512 divisors, whose sum is σ = 8089804800. Its totient is φ = 436700160.

The previous prime is 2262724987. The next prime is 2262725011. The reversal of 2262725010 is 105272622.

2262725010 is a `hidden beast` number, since 2 + 2 + 627 + 25 + 0 + 10 = 666.

2262725010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2262725011) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 17272645 + ... + 17272775.

It is an arithmetic number, because the mean of its divisors is an integer number (15800400).

Almost surely, 2^2262725010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2262725010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4044902400).

2262725010 is an abundant number, since it is smaller than the sum of its proper divisors (5827079790).

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

2262725010 is a wasteful number, since it uses less digits than its factorization.

2262725010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 2262725010 is about 47568.1091699050. The cubic root of 2262725010 is about 1312.8363480840.

Adding to 2262725010 its reverse (105272622), we get a palindrome (2367997632).

The spelling of 2262725010 in words is "two billion, two hundred sixty-two million, seven hundred twenty-five thousand, ten".