2248785792 has 192 divisors, whose sum is σ = 7225320960. Its totient is φ = 665441280.

The previous prime is 2248785751. The next prime is 2248785809. The reversal of 2248785792 is 2975878422.

2248785792 is a `hidden beast` number, since 22 + 48 + 7 + 8 + 579 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 542833 + ... + 546959.

It is an arithmetic number, because the mean of its divisors is an integer number (37631880).

Almost surely, 2^2248785792 is an apocalyptic number.

2248785792 is a gapful number since it is divisible by the number (22) 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 2248785792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3612660480).

2248785792 is an abundant number, since it is smaller than the sum of its proper divisors (4976535168).

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

2248785792 is a wasteful number, since it uses less digits than its factorization.

2248785792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4201 (or 4186 counting only the distinct ones).

The product of its digits is 4515840, while the sum is 54.

The square root of 2248785792 is about 47421.3642992270. The cubic root of 2248785792 is about 1310.1349417157.

The spelling of 2248785792 in words is "two billion, two hundred forty-eight million, seven hundred eighty-five thousand, seven hundred ninety-two".