2437648668 has 432 divisors, whose sum is σ = 8328413184. Its totient is φ = 617258880.

The previous prime is 2437648639. The next prime is 2437648691. The reversal of 2437648668 is 8668467342.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 19194021 + ... + 19194147.

Almost surely, 2^2437648668 is an apocalyptic number.

2437648668 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 2437648668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4164206592).

2437648668 is an abundant number, since it is smaller than the sum of its proper divisors (5890764516).

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

2437648668 is a wasteful number, since it uses less digits than its factorization.

2437648668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 183 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 54.

The square root of 2437648668 is about 49372.5497417340. The cubic root of 2437648668 is about 1345.8305135409.

The spelling of 2437648668 in words is "two billion, four hundred thirty-seven million, six hundred forty-eight thousand, six hundred sixty-eight".