2247339920 has 240 divisors, whose sum is σ = 6423539760. Its totient is φ = 727953408.

The previous prime is 2247339889. The next prime is 2247339923. The reversal of 2247339920 is 299337422.

It can be written as a sum of positive squares in 8 ways, for example, as 13454224 + 2233885696 = 3668^2 + 47264^2 .

It is not an unprimeable number, because it can be changed into a prime (2247339923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6024854 + ... + 6025226.

It is an arithmetic number, because the mean of its divisors is an integer number (26764749).

Almost surely, 2^2247339920 is an apocalyptic number.

2247339920 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 2247339920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3211769880).

2247339920 is an abundant number, since it is smaller than the sum of its proper divisors (4176199840).

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

2247339920 is a wasteful number, since it uses less digits than its factorization.

2247339920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 41.

The square root of 2247339920 is about 47406.1169048890. The cubic root of 2247339920 is about 1309.8540948158.

The spelling of 2247339920 in words is "two billion, two hundred forty-seven million, three hundred thirty-nine thousand, nine hundred twenty".