2262257712 has 240 divisors, whose sum is σ = 7564161696. Its totient is φ = 622080000.

The previous prime is 2262257707. The next prime is 2262257717. The reversal of 2262257712 is 2177522622.

2262257712 is a `hidden beast` number, since 22 + 62 + 2 + 577 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (2262257707) and next prime (2262257717).

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

It is not an unprimeable number, because it can be changed into a prime (2262257717) 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, 1255212 + ... + 1257012.

Almost surely, 2^2262257712 is an apocalyptic number.

2262257712 is a gapful number since it is divisible by the number (22) 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 2262257712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3782080848).

2262257712 is an abundant number, since it is smaller than the sum of its proper divisors (5301903984).

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

2262257712 is a wasteful number, since it uses less digits than its factorization.

2262257712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1900 (or 1891 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 2262257712 is about 47563.1970330002. The cubic root of 2262257712 is about 1312.7459662017.

The spelling of 2262257712 in words is "two billion, two hundred sixty-two million, two hundred fifty-seven thousand, seven hundred twelve".