2252681442 has 126 divisors (see below), whose sum is σ = 5618366481. Its totient is φ = 676589760.

The previous prime is 2252681429. The next prime is 2252681461. The reversal of 2252681442 is 2441862522.

It can be written as a sum of positive squares in 2 ways, for example, as 1422722961 + 829958481 = 37719^2 + 28809^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=33561.

It is a junction number, because it is equal to n+sod(n) for n = 2252681397 and 2252681406.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 19935178 + ... + 19935290.

Almost surely, 2^2252681442 is an apocalyptic number.

2252681442 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2252681442

2252681442 is an abundant number, since it is smaller than the sum of its proper divisors (3365685039).

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

2252681442 is an equidigital number, since it uses as much as digits as its factorization.

2252681442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 129 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 2252681442 is about 47462.4213668034. The cubic root of 2252681442 is about 1310.8910360872.

The spelling of 2252681442 in words is "two billion, two hundred fifty-two million, six hundred eighty-one thousand, four hundred forty-two".