2452873920 has 448 divisors, whose sum is σ = 9290889216. Its totient is φ = 536739840.

The previous prime is 2452873919. The next prime is 2452873961. The reversal of 2452873920 is 293782542.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

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 63 ways as a sum of consecutive naturals, for example, 25287312 + ... + 25287408.

It is an arithmetic number, because the mean of its divisors is an integer number (20738592).

Almost surely, 2^2452873920 is an apocalyptic number.

2452873920 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 2452873920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4645444608).

2452873920 is an abundant number, since it is smaller than the sum of its proper divisors (6838015296).

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

2452873920 is a wasteful number, since it uses less digits than its factorization.

2452873920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 2452873920 is about 49526.4971505153. The cubic root of 2452873920 is about 1348.6266637545.

The spelling of 2452873920 in words is "two billion, four hundred fifty-two million, eight hundred seventy-three thousand, nine hundred twenty".