2454883200 has 1152 divisors, whose sum is σ = 11601757440. Its totient is φ = 497664000.

The previous prime is 2454883199. The next prime is 2454883237. The reversal of 2454883200 is 23884542.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 59875180 + ... + 59875220.

It is an arithmetic number, because the mean of its divisors is an integer number (10070970).

Almost surely, 2^2454883200 is an apocalyptic number.

2454883200 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 2454883200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5800878720).

2454883200 is an abundant number, since it is smaller than the sum of its proper divisors (9146874240).

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

2454883200 is a wasteful number, since it uses less digits than its factorization.

2454883200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 2454883200 is about 49546.7778972558. Note that the first 3 decimals coincide. The cubic root of 2454883200 is about 1348.9948072877.

The spelling of 2454883200 in words is "two billion, four hundred fifty-four million, eight hundred eighty-three thousand, two hundred".