2785564080 has 400 divisors, whose sum is σ = 10675045920. Its totient is φ = 668860416.

The previous prime is 2785564051. The next prime is 2785564081. The reversal of 2785564080 is 804655872.

2785564080 is a `hidden beast` number, since 2 + 7 + 8 + 5 + 564 + 0 + 80 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2785564081) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3621936 + ... + 3622704.

Almost surely, 2^2785564080 is an apocalyptic number.

2785564080 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 2785564080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5337522960).

2785564080 is an abundant number, since it is smaller than the sum of its proper divisors (7889481840).

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

2785564080 is a wasteful number, since it uses less digits than its factorization.

2785564080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 850 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 2785564080 is about 52778.4433267977. The cubic root of 2785564080 is about 1407.0333278461.

The spelling of 2785564080 in words is "two billion, seven hundred eighty-five million, five hundred sixty-four thousand, eighty".