2251525248 has 288 divisors, whose sum is σ = 7709045760. Its totient is φ = 641613312.

The previous prime is 2251525247. The next prime is 2251525249. The reversal of 2251525248 is 8425251522.

It is an interprime number because it is at equal distance from previous prime (2251525247) and next prime (2251525249).

It is a tau number, because it is divible by the number of its divisors (288).

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 (2251525247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5878465 + ... + 5878847.

It is an arithmetic number, because the mean of its divisors is an integer number (26767520).

Almost surely, 2^2251525248 is an apocalyptic number.

2251525248 is a gapful number since it is divisible by the number (28) 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 2251525248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3854522880).

2251525248 is an abundant number, since it is smaller than the sum of its proper divisors (5457520512).

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

2251525248 is an frugal number, since it uses more digits than its factorization.

2251525248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 395 counting only the distinct ones).

The product of its digits is 64000, while the sum is 36.

The square root of 2251525248 is about 47450.2397043471. The cubic root of 2251525248 is about 1310.6667250803. Note that the first 3 decimals are identical.

It can be divided in two parts, 225152 and 5248, that added together give a square (230400 = 480²).

The spelling of 2251525248 in words is "two billion, two hundred fifty-one million, five hundred twenty-five thousand, two hundred forty-eight".