2453848320 has 576 divisors, whose sum is σ = 10049808384. Its totient is φ = 495452160.

The previous prime is 2453848279. The next prime is 2453848321. The reversal of 2453848320 is 238483542.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2453848321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12714144 + ... + 12714336.

It is an arithmetic number, because the mean of its divisors is an integer number (17447584).

Almost surely, 2^2453848320 is an apocalyptic number.

2453848320 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 2453848320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5024904192).

2453848320 is an abundant number, since it is smaller than the sum of its proper divisors (7595960064).

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

2453848320 is a wasteful number, since it uses less digits than its factorization.

2453848320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 39.

The square root of 2453848320 is about 49536.3333322118. Note that the first 5 decimals coincide. The cubic root of 2453848320 is about 1348.8052199970.

The spelling of 2453848320 in words is "two billion, four hundred fifty-three million, eight hundred forty-eight thousand, three hundred twenty".