2834612640 has 144 divisors (see below), whose sum is σ = 10242210888. Its totient is φ = 711426048.

The previous prime is 2834612581. The next prime is 2834612647. The reversal of 2834612640 is 462164382.

2834612640 is a `hidden beast` number, since 2 + 8 + 3 + 4 + 6 + 1 + 2 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1720922256 + 1113690384 = 41484^2 + 33372^2 .

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 a junction number, because it is equal to n+sod(n) for n = 2834612595 and 2834612604.

It is not an unprimeable number, because it can be changed into a prime (2834612647) 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 23 ways as a sum of consecutive naturals, for example, 33417 + ... + 82376.

Almost surely, 2^2834612640 is an apocalyptic number.

2834612640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2834612640 is an abundant number, since it is smaller than the sum of its proper divisors (7407598248).

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

2834612640 is a wasteful number, since it uses less digits than its factorization.

2834612640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115831 (or 115820 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 2834612640 is about 53241.0803797218. The cubic root of 2834612640 is about 1415.2437309846.

The spelling of 2834612640 in words is "two billion, eight hundred thirty-four million, six hundred twelve thousand, six hundred forty".