2842011648 has 144 divisors (see below), whose sum is σ = 9381284640. Its totient is φ = 811966464.

The previous prime is 2842011647. The next prime is 2842011661. The reversal of 2842011648 is 8461102482.

2842011648 is a `hidden beast` number, since 2 + 8 + 4 + 2 + 0 + 1 + 1 + 648 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 (2842011647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 118011 + ... + 140037.

It is an arithmetic number, because the mean of its divisors is an integer number (65147810).

Almost surely, 2^2842011648 is an apocalyptic number.

2842011648 is a gapful number since it is divisible by the number (28) 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 2842011648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4690642320).

2842011648 is an abundant number, since it is smaller than the sum of its proper divisors (6539272992).

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

2842011648 is a wasteful number, since it uses less digits than its factorization.

2842011648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22062 (or 22039 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 2842011648 is about 53310.5209878876. The cubic root of 2842011648 is about 1416.4740345292.

The spelling of 2842011648 in words is "two billion, eight hundred forty-two million, eleven thousand, six hundred forty-eight".