2248016288 has 48 divisors (see below), whose sum is σ = 5061409920. Its totient is φ = 962793216.

The previous prime is 2248016279. The next prime is 2248016291. The reversal of 2248016288 is 8826108422.

It is a super-2 number, since 2×2248016288² = 10107154462226597888, which contains 22 as substring.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

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 7 ways as a sum of consecutive naturals, for example, 506045 + ... + 510467.

It is an arithmetic number, because the mean of its divisors is an integer number (105446040).

Almost surely, 2^2248016288 is an apocalyptic number.

2248016288 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2248016288 is an abundant number, since it is smaller than the sum of its proper divisors (2813393632).

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

2248016288 is a wasteful number, since it uses less digits than its factorization.

2248016288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6709 (or 6701 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 41.

The square root of 2248016288 is about 47413.2501311606. The cubic root of 2248016288 is about 1309.9854878644.

The spelling of 2248016288 in words is "two billion, two hundred forty-eight million, sixteen thousand, two hundred eighty-eight".