2842765146 has 96 divisors (see below), whose sum is σ = 6911032128. Its totient is φ = 870600960.

The previous prime is 2842765139. The next prime is 2842765147. The reversal of 2842765146 is 6415672482.

2842765146 is a `hidden beast` number, since 28 + 42 + 76 + 514 + 6 = 666.

2842765146 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2842765147) 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, 1521705 + ... + 1523571.

It is an arithmetic number, because the mean of its divisors is an integer number (71989918).

Almost surely, 2^2842765146 is an apocalyptic number.

2842765146 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2842765146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3455516064).

2842765146 is an abundant number, since it is smaller than the sum of its proper divisors (4068266982).

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

2842765146 is a wasteful number, since it uses less digits than its factorization.

2842765146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2138 (or 2126 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 2842765146 is about 53317.5875860865. The cubic root of 2842765146 is about 1416.5992059656.

The spelling of 2842765146 in words is "two billion, eight hundred forty-two million, seven hundred sixty-five thousand, one hundred forty-six".