2842755552 has 288 divisors, whose sum is σ = 10273536000. Its totient is φ = 725345280.

The previous prime is 2842755551. The next prime is 2842755569. The reversal of 2842755552 is 2555572482.

2842755552 is a `hidden beast` number, since 2 + 8 + 42 + 7 + 55 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2842755498 and 2842755507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2842755551) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 810699 + ... + 814197.

It is an arithmetic number, because the mean of its divisors is an integer number (35672000).

Almost surely, 2^2842755552 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 2842755552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5136768000).

2842755552 is an abundant number, since it is smaller than the sum of its proper divisors (7430780448).

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

2842755552 is a wasteful number, since it uses less digits than its factorization.

2842755552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3566 (or 3555 counting only the distinct ones).

The product of its digits is 1120000, while the sum is 45.

The square root of 2842755552 is about 53317.4976156984. The cubic root of 2842755552 is about 1416.5976123449.

The spelling of 2842755552 in words is "two billion, eight hundred forty-two million, seven hundred fifty-five thousand, five hundred fifty-two".