2247580608 has 672 divisors, whose sum is σ = 8406042624. Its totient is φ = 522289152.

The previous prime is 2247580597. The next prime is 2247580609. The reversal of 2247580608 is 8060857422.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 2247580608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2247580609) 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 95 ways as a sum of consecutive naturals, for example, 47820841 + ... + 47820887.

It is an arithmetic number, because the mean of its divisors is an integer number (12508992).

Almost surely, 2^2247580608 is an apocalyptic number.

2247580608 is a gapful number since it is divisible by the number (28) 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 2247580608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4203021312).

2247580608 is an abundant number, since it is smaller than the sum of its proper divisors (6158462016).

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

2247580608 is a wasteful number, since it uses less digits than its factorization.

2247580608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The square root of 2247580608 is about 47408.6554122768. The cubic root of 2247580608 is about 1309.9008545286.

The spelling of 2247580608 in words is "two billion, two hundred forty-seven million, five hundred eighty thousand, six hundred eight".