2247954720 has 384 divisors, whose sum is σ = 8171331840. Its totient is φ = 514375680.

The previous prime is 2247954713. The next prime is 2247954763. The reversal of 2247954720 is 274597422.

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 63 ways as a sum of consecutive naturals, for example, 8115222 + ... + 8115498.

It is an arithmetic number, because the mean of its divisors is an integer number (21279510).

Almost surely, 2^2247954720 is an apocalyptic number.

2247954720 is a gapful number since it is divisible by the number (20) 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 2247954720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4085665920).

2247954720 is an abundant number, since it is smaller than the sum of its proper divisors (5923377120).

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

2247954720 is a wasteful number, since it uses less digits than its factorization.

2247954720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The square root of 2247954720 is about 47412.6008567343. The cubic root of 2247954720 is about 1309.9735285912.

The spelling of 2247954720 in words is "two billion, two hundred forty-seven million, nine hundred fifty-four thousand, seven hundred twenty".