2833388640 has 384 divisors, whose sum is σ = 10767738240. Its totient is φ = 693043200.

The previous prime is 2833388629. The next prime is 2833388647. The reversal of 2833388640 is 468833382.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2833388647) 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 63 ways as a sum of consecutive naturals, for example, 3010570 + ... + 3011510.

It is an arithmetic number, because the mean of its divisors is an integer number (28040985).

Almost surely, 2^2833388640 is an apocalyptic number.

2833388640 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 2833388640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5383869120).

2833388640 is an abundant number, since it is smaller than the sum of its proper divisors (7934349600).

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

2833388640 is a wasteful number, since it uses less digits than its factorization.

2833388640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023 (or 1009 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 2833388640 is about 53229.5842553744. The cubic root of 2833388640 is about 1415.0399985364.

The spelling of 2833388640 in words is "two billion, eight hundred thirty-three million, three hundred eighty-eight thousand, six hundred forty".