2247329680 has 80 divisors (see below), whose sum is σ = 5380727040. Its totient is φ = 872280576.

The previous prime is 2247329677. The next prime is 2247329681. The reversal of 2247329680 is 869237422.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (2247329681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1440741 + ... + 1442299.

It is an arithmetic number, because the mean of its divisors is an integer number (67259088).

Almost surely, 2^2247329680 is an apocalyptic number.

2247329680 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 2247329680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2690363520).

2247329680 is an abundant number, since it is smaller than the sum of its proper divisors (3133397360).

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

2247329680 is a wasteful number, since it uses less digits than its factorization.

2247329680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2096 (or 2090 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 43.

The square root of 2247329680 is about 47406.0089018259. The cubic root of 2247329680 is about 1309.8521053635.

The spelling of 2247329680 in words is "two billion, two hundred forty-seven million, three hundred twenty-nine thousand, six hundred eighty".