2646423360 has 896 divisors, whose sum is σ = 11704320000. Its totient is φ = 560867328.

The previous prime is 2646423349. The next prime is 2646423361. The reversal of 2646423360 is 633246462.

2646423360 is a `hidden beast` number, since 2 + 6 + 4 + 642 + 3 + 3 + 6 + 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 (2646423361) 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 127 ways as a sum of consecutive naturals, for example, 56306857 + ... + 56306903.

Almost surely, 2^2646423360 is an apocalyptic number.

2646423360 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 2646423360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5852160000).

2646423360 is an abundant number, since it is smaller than the sum of its proper divisors (9057896640).

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

2646423360 is a wasteful number, since it uses less digits than its factorization.

2646423360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

The square root of 2646423360 is about 51443.3995766221. The cubic root of 2646423360 is about 1383.2046506643.

The spelling of 2646423360 in words is "two billion, six hundred forty-six million, four hundred twenty-three thousand, three hundred sixty".