2291456544 has 192 divisors, whose sum is σ = 6987980160. Its totient is φ = 651386880.

The previous prime is 2291456513. The next prime is 2291456549. The reversal of 2291456544 is 4456541922.

It is a junction number, because it is equal to n+sod(n) for n = 2291456496 and 2291456505.

It is not an unprimeable number, because it can be changed into a prime (2291456549) by changing a digit.

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, 971014 + ... + 973370.

It is an arithmetic number, because the mean of its divisors is an integer number (36395730).

Almost surely, 2^2291456544 is an apocalyptic number.

2291456544 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 2291456544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3493990080).

2291456544 is an abundant number, since it is smaller than the sum of its proper divisors (4696523616).

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

2291456544 is a wasteful number, since it uses less digits than its factorization.

2291456544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2443 (or 2435 counting only the distinct ones).

The product of its digits is 345600, while the sum is 42.

The square root of 2291456544 is about 47869.1606778310. The cubic root of 2291456544 is about 1318.3696860568.

The spelling of 2291456544 in words is "two billion, two hundred ninety-one million, four hundred fifty-six thousand, five hundred forty-four".