2852381414400 has 2112 divisors, whose sum is σ = 11940069120000. Its totient is φ = 598258483200.

The previous prime is 2852381414369. The next prime is 2852381414413. The reversal of 2852381414400 is 44141832582.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 20520729531 + ... + 20520729669.

Almost surely, 2^{2852381414400} is an apocalyptic number.

2852381414400 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 2852381414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5970034560000).

2852381414400 is an abundant number, since it is smaller than the sum of its proper divisors (9087687705600).

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

2852381414400 is a wasteful number, since it uses less digits than its factorization.

2852381414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 42.

The spelling of 2852381414400 in words is "two trillion, eight hundred fifty-two billion, three hundred eighty-one million, four hundred fourteen thousand, four hundred".