2248995456 has 80 divisors (see below), whose sum is σ = 6693004890. Its totient is φ = 749661696.

The previous prime is 2248995431. The next prime is 2248995479. The reversal of 2248995456 is 6545998422.

2248995456 is a `hidden beast` number, since 2 + 2 + 4 + 8 + 99 + 545 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1884949056 + 364046400 = 43416^2 + 19080^2 .

It is a super-3 number, since 3×2248995456³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 9 ways as a sum of consecutive naturals, for example, 98091 + ... + 118826.

Almost surely, 2^2248995456 is an apocalyptic number.

It is an amenable number.

2248995456 is an abundant number, since it is smaller than the sum of its proper divisors (4444009434).

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

2248995456 is an equidigital number, since it uses as much as digits as its factorization.

2248995456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216943 (or 216922 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 54.

The square root of 2248995456 is about 47423.5748968801. The cubic root of 2248995456 is about 1310.1756569611.

The spelling of 2248995456 in words is "two billion, two hundred forty-eight million, nine hundred ninety-five thousand, four hundred fifty-six".