2246719680 has 196 divisors, whose sum is σ = 8022165312. Its totient is φ = 599063040.

The previous prime is 2246719667. The next prime is 2246719691. The reversal of 2246719680 is 869176422.

It is a happy number.

2246719680 is a `hidden beast` number, since 22 + 467 + 1 + 96 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 27 ways as a sum of consecutive naturals, for example, 228465 + ... + 238095.

Almost surely, 2^2246719680 is an apocalyptic number.

2246719680 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 2246719680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4011082656).

2246719680 is an abundant number, since it is smaller than the sum of its proper divisors (5775445632).

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

2246719680 is an frugal number, since it uses more digits than its factorization.

2246719680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9666 (or 9641 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 2246719680 is about 47399.5746816361. The cubic root of 2246719680 is about 1309.7335821676.

The spelling of 2246719680 in words is "two billion, two hundred forty-six million, seven hundred nineteen thousand, six hundred eighty".