2252781648 has 90 divisors (see below), whose sum is σ = 6795828494. Its totient is φ = 692531712.

The previous prime is 2252781647. The next prime is 2252781733. The reversal of 2252781648 is 8461872522.

2252781648 is a `hidden beast` number, since 2 + 2 + 527 + 81 + 6 + 48 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1468944 + 2251312704 = 1212^2 + 47448^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2252781647) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2053036 + ... + 2054132.

Almost surely, 2^2252781648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2252781648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3397914247).

2252781648 is an abundant number, since it is smaller than the sum of its proper divisors (4543046846).

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

2252781648 is a wasteful number, since it uses less digits than its factorization.

2252781648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2221 (or 1115 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 2252781648 is about 47463.4769902080. The cubic root of 2252781648 is about 1310.9104732487.

The spelling of 2252781648 in words is "two billion, two hundred fifty-two million, seven hundred eighty-one thousand, six hundred forty-eight".