2785224960 has 576 divisors, whose sum is σ = 11714572800. Its totient is φ = 613122048.

The previous prime is 2785224947. The next prime is 2785224973. The reversal of 2785224960 is 694225872.

2785224960 is a `hidden beast` number, since 27 + 8 + 522 + 49 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (2785224947) and next prime (2785224973).

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7015482 + ... + 7015878.

It is an arithmetic number, because the mean of its divisors is an integer number (20337800).

Almost surely, 2^2785224960 is an apocalyptic number.

2785224960 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 2785224960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5857286400).

2785224960 is an abundant number, since it is smaller than the sum of its proper divisors (8929347840).

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

2785224960 is a wasteful number, since it uses less digits than its factorization.

2785224960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 2785224960 is about 52775.2305537361. The cubic root of 2785224960 is about 1406.9762272023.

The spelling of 2785224960 in words is "two billion, seven hundred eighty-five million, two hundred twenty-four thousand, nine hundred sixty".