2833474560 has 528 divisors, whose sum is σ = 11080918656. Its totient is φ = 605159424.

The previous prime is 2833474559. The next prime is 2833474561. The reversal of 2833474560 is 654743382.

It is an interprime number because it is at equal distance from previous prime (2833474559) and next prime (2833474561).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (2833474561) 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 47 ways as a sum of consecutive naturals, for example, 38814684 + ... + 38814756.

Almost surely, 2^2833474560 is an apocalyptic number.

2833474560 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 2833474560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5540459328).

2833474560 is an abundant number, since it is smaller than the sum of its proper divisors (8247444096).

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

2833474560 is a wasteful number, since it uses less digits than its factorization.

2833474560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The square root of 2833474560 is about 53230.3913192454. The cubic root of 2833474560 is about 1415.0543016698.

The spelling of 2833474560 in words is "two billion, eight hundred thirty-three million, four hundred seventy-four thousand, five hundred sixty".