2672028384 has 192 divisors, whose sum is σ = 7559516160. Its totient is φ = 824832000.

The previous prime is 2672028347. The next prime is 2672028433. The reversal of 2672028384 is 4838202762.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 7442797 + ... + 7443155.

It is an arithmetic number, because the mean of its divisors is an integer number (39372480).

Almost surely, 2^2672028384 is an apocalyptic number.

2672028384 is a gapful number since it is divisible by the number (24) 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 2672028384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3779758080).

2672028384 is an abundant number, since it is smaller than the sum of its proper divisors (4887487776).

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

2672028384 is a wasteful number, since it uses less digits than its factorization.

2672028384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The square root of 2672028384 is about 51691.6664850341. Note that the first 3 decimals coincide. The cubic root of 2672028384 is about 1387.6513282882.

The spelling of 2672028384 in words is "two billion, six hundred seventy-two million, twenty-eight thousand, three hundred eighty-four".