2451872192 has 336 divisors, whose sum is σ = 6773619168. Its totient is φ = 867041280.

The previous prime is 2451872191. The next prime is 2451872219. The reversal of 2451872192 is 2912781542.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2451872191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21697928 + ... + 21698040.

Almost surely, 2^2451872192 is an apocalyptic number.

2451872192 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 2451872192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3386809584).

2451872192 is an abundant number, since it is smaller than the sum of its proper divisors (4321746976).

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

2451872192 is a wasteful number, since it uses less digits than its factorization.

2451872192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 187 counting only the distinct ones).

The product of its digits is 80640, while the sum is 41.

The square root of 2451872192 is about 49516.3830666175. The cubic root of 2451872192 is about 1348.4430504255.

The spelling of 2451872192 in words is "two billion, four hundred fifty-one million, eight hundred seventy-two thousand, one hundred ninety-two".