2248751904 has 192 divisors, whose sum is σ = 7109222400. Its totient is φ = 621492480.

The previous prime is 2248751863. The next prime is 2248751917. The reversal of 2248751904 is 4091578422.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1019667 + ... + 1021869.

It is an arithmetic number, because the mean of its divisors is an integer number (37027200).

Almost surely, 2^2248751904 is an apocalyptic number.

2248751904 is a gapful number since it is divisible by the number (24) 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 2248751904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3554611200).

2248751904 is an abundant number, since it is smaller than the sum of its proper divisors (4860470496).

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

2248751904 is a wasteful number, since it uses less digits than its factorization.

2248751904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2268 (or 2246 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 2248751904 is about 47421.0069905733. The cubic root of 2248751904 is about 1310.1283606716.

The spelling of 2248751904 in words is "two billion, two hundred forty-eight million, seven hundred fifty-one thousand, nine hundred four".