2852184011040 has 2880 divisors, whose sum is σ = 13319257835520. Its totient is φ = 550787973120.

The previous prime is 2852184011021. The next prime is 2852184011081. The reversal of 2852184011040 is 401104812582.

2852184011040 is a `hidden beast` number, since 2 + 8 + 521 + 84 + 0 + 1 + 10 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2852184010986 and 2852184011004.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 32047011316 + ... + 32047011404.

It is an arithmetic number, because the mean of its divisors is an integer number (4624742304).

Almost surely, 2^{2852184011040} is an apocalyptic number.

2852184011040 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 2852184011040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6659628917760).

2852184011040 is an abundant number, since it is smaller than the sum of its proper divisors (10467073824480).

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

2852184011040 is a wasteful number, since it uses less digits than its factorization.

2852184011040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The spelling of 2852184011040 in words is "two trillion, eight hundred fifty-two billion, one hundred eighty-four million, eleven thousand, forty".