2852266982400 has 1584 divisors, whose sum is σ = 11478110282496. Its totient is φ = 676515840000.

The previous prime is 2852266982371. The next prime is 2852266982401. The reversal of 2852266982400 is 42896622582.

It is a happy number.

2852266982400 is a `hidden beast` number, since 2 + 8 + 5 + 226 + 6 + 9 + 8 + 2 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2852266982401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 21773030335 + ... + 21773030465.

It is an arithmetic number, because the mean of its divisors is an integer number (7246281744).

Almost surely, 2^{2852266982400} is an apocalyptic number.

2852266982400 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 2852266982400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5739055141248).

2852266982400 is an abundant number, since it is smaller than the sum of its proper divisors (8625843300096).

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

2852266982400 is a wasteful number, since it uses less digits than its factorization.

2852266982400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 2852266982400 in words is "two trillion, eight hundred fifty-two billion, two hundred sixty-six million, nine hundred eighty-two thousand, four hundred".