2833712640 has 320 divisors, whose sum is σ = 10983582720. Its totient is φ = 686776320.

The previous prime is 2833712633. The next prime is 2833712647. The reversal of 2833712640 is 462173382.

It is a happy number.

2833712640 is a `hidden beast` number, since 2 + 8 + 3 + 3 + 7 + 1 + 2 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (2833712633) and next prime (2833712647).

It is a tau number, because it is divible by the number of its divisors (320).

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 = 2833712595 and 2833712604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2833712647) 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 31 ways as a sum of consecutive naturals, for example, 758457 + ... + 762183.

It is an arithmetic number, because the mean of its divisors is an integer number (34323696).

Almost surely, 2^2833712640 is an apocalyptic number.

2833712640 is a gapful number since it is divisible by the number (20) 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 2833712640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5491791360).

2833712640 is an abundant number, since it is smaller than the sum of its proper divisors (8149870080).

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

2833712640 is a wasteful number, since it uses less digits than its factorization.

2833712640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3770 (or 3748 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 2833712640 is about 53232.6275887261. The cubic root of 2833712640 is about 1415.0939334230.

The spelling of 2833712640 in words is "two billion, eight hundred thirty-three million, seven hundred twelve thousand, six hundred forty".