2446006680 has 256 divisors, whose sum is σ = 8890560000. Its totient is φ = 594556416.

The previous prime is 2446006663. The next prime is 2446006681. The reversal of 2446006680 is 866006442.

It is a happy number.

2446006680 is a `hidden beast` number, since 2 + 44 + 600 + 6 + 6 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2446006681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1164271 + ... + 1166369.

It is an arithmetic number, because the mean of its divisors is an integer number (34728750).

Almost surely, 2^2446006680 is an apocalyptic number.

2446006680 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 2446006680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4445280000).

2446006680 is an abundant number, since it is smaller than the sum of its proper divisors (6444553320).

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

2446006680 is a wasteful number, since it uses less digits than its factorization.

2446006680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2215 (or 2205 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 2446006680 is about 49457.1196088086. The cubic root of 2446006680 is about 1347.3669170730.

The spelling of 2446006680 in words is "two billion, four hundred forty-six million, six thousand, six hundred eighty".