2854438400 has 360 divisors, whose sum is σ = 8266944840. Its totient is φ = 973209600.

The previous prime is 2854438387. The next prime is 2854438417. The reversal of 2854438400 is 48344582.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 29427152 + ... + 29427248.

Almost surely, 2^2854438400 is an apocalyptic number.

2854438400 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 2854438400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4133472420).

2854438400 is an abundant number, since it is smaller than the sum of its proper divisors (5412506440).

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

2854438400 is a wasteful number, since it uses less digits than its factorization.

2854438400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 38.

The square root of 2854438400 is about 53426.9445130451. The cubic root of 2854438400 is about 1418.5355529860.

The spelling of 2854438400 in words is "two billion, eight hundred fifty-four million, four hundred thirty-eight thousand, four hundred".