2248776432 has 240 divisors, whose sum is σ = 7604513280. Its totient is φ = 629980416.

The previous prime is 2248776421. The next prime is 2248776449. The reversal of 2248776432 is 2346778422.

It is a super-2 number, since 2×2248776432² = 10113990882237301248, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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, 1441669 + ... + 1443227.

It is an arithmetic number, because the mean of its divisors is an integer number (31685472).

Almost surely, 2^2248776432 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 2248776432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3802256640).

2248776432 is an abundant number, since it is smaller than the sum of its proper divisors (5355736848).

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

2248776432 is a wasteful number, since it uses less digits than its factorization.

2248776432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1642 (or 1624 counting only the distinct ones).

The product of its digits is 903168, while the sum is 45.

The square root of 2248776432 is about 47421.2656094289. The cubic root of 2248776432 is about 1310.1331240118.

The spelling of 2248776432 in words is "two billion, two hundred forty-eight million, seven hundred seventy-six thousand, four hundred thirty-two".