2248128252 has 72 divisors (see below), whose sum is σ = 5869281600. Its totient is φ = 725142528.

The previous prime is 2248128247. The next prime is 2248128257. The reversal of 2248128252 is 2528218422.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2248128247) and next prime (2248128257).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2248128257) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 143124 + ... + 158052.

It is an arithmetic number, because the mean of its divisors is an integer number (81517800).

Almost surely, 2^2248128252 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 2248128252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2934640800).

2248128252 is an abundant number, since it is smaller than the sum of its proper divisors (3621153348).

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

2248128252 is a wasteful number, since it uses less digits than its factorization.

2248128252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15075 (or 15070 counting only the distinct ones).

The product of its digits is 40960, while the sum is 36.

The square root of 2248128252 is about 47414.4308412534. The cubic root of 2248128252 is about 1310.0072357466.

The spelling of 2248128252 in words is "two billion, two hundred forty-eight million, one hundred twenty-eight thousand, two hundred fifty-two".