2782573560 has 576 divisors, whose sum is σ = 10833994080. Its totient is φ = 638254080.

The previous prime is 2782573523. The next prime is 2782573597. The reversal of 2782573560 is 653752872.

2782573560 is a `hidden beast` number, since 2 + 7 + 82 + 5 + 7 + 3 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (2782573523) and next prime (2782573597).

It is a super-2 number, since 2×2782573560² = 15485431233622147200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 45615930 + ... + 45615990.

Almost surely, 2^2782573560 is an apocalyptic number.

2782573560 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 2782573560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5416997040).

2782573560 is an abundant number, since it is smaller than the sum of its proper divisors (8051420520).

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

2782573560 is a wasteful number, since it uses less digits than its factorization.

2782573560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The square root of 2782573560 is about 52750.1048340191. The cubic root of 2782573560 is about 1406.5296275934.

The spelling of 2782573560 in words is "two billion, seven hundred eighty-two million, five hundred seventy-three thousand, five hundred sixty".