2472288192 has 336 divisors, whose sum is σ = 8201217024. Its totient is φ = 705024000.

The previous prime is 2472288167. The next prime is 2472288209. The reversal of 2472288192 is 2918822742.

It is a happy number.

It is a super-3 number, since 3×2472288192³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8052903 + ... + 8053209.

It is an arithmetic number, because the mean of its divisors is an integer number (24408384).

Almost surely, 2^2472288192 is an apocalyptic number.

2472288192 is a gapful number since it is divisible by the number (22) 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 2472288192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4100608512).

2472288192 is an abundant number, since it is smaller than the sum of its proper divisors (5728928832).

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

2472288192 is a wasteful number, since it uses less digits than its factorization.

2472288192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 395 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 2472288192 is about 49722.1096897547. The cubic root of 2472288192 is about 1352.1754029400.

The spelling of 2472288192 in words is "two billion, four hundred seventy-two million, two hundred eighty-eight thousand, one hundred ninety-two".