2842532352 has 480 divisors, whose sum is σ = 9723377664. Its totient is φ = 821145600.

The previous prime is 2842532339. The next prime is 2842532359. The reversal of 2842532352 is 2532352482.

2842532352 is a `hidden beast` number, since 284 + 2 + 5 + 323 + 52 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2842532359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42425823 + ... + 42425889.

Almost surely, 2^2842532352 is an apocalyptic number.

2842532352 is a gapful number since it is divisible by the number (22) 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 2842532352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4861688832).

2842532352 is an abundant number, since it is smaller than the sum of its proper divisors (6880845312).

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

2842532352 is an equidigital number, since it uses as much as digits as its factorization.

2842532352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 114 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The square root of 2842532352 is about 53315.4044531222. The cubic root of 2842532352 is about 1416.5605364800.

The spelling of 2842532352 in words is "two billion, eight hundred forty-two million, five hundred thirty-two thousand, three hundred fifty-two".