2854149322752 has 2304 divisors, whose sum is σ = 11539235635200. Its totient is φ = 683670896640.

The previous prime is 2854149322751. The next prime is 2854149322757. The reversal of 2854149322752 is 2572239414582.

It is a happy number.

2854149322752 is a `hidden beast` number, since 2 + 8 + 541 + 4 + 9 + 3 + 22 + 75 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2854149322751) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 26674292683 + ... + 26674292789.

It is an arithmetic number, because the mean of its divisors is an integer number (5008348800).

Almost surely, 2^{2854149322752} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2854149322752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5769617817600).

2854149322752 is an abundant number, since it is smaller than the sum of its proper divisors (8685086312448).

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

2854149322752 is a wasteful number, since it uses less digits than its factorization.

2854149322752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 182 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 54.

The spelling of 2854149322752 in words is "two trillion, eight hundred fifty-four billion, one hundred forty-nine million, three hundred twenty-two thousand, seven hundred fifty-two".