2781067536 has 240 divisors, whose sum is σ = 9164413440. Its totient is φ = 779120640.

The previous prime is 2781067501. The next prime is 2781067537. The reversal of 2781067536 is 6357601872.

2781067536 is a `hidden beast` number, since 2 + 7 + 8 + 106 + 7 + 536 = 666.

It is a super-2 number, since 2×2781067536² = 15468673279586222592, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2781067491 and 2781067500.

It is not an unprimeable number, because it can be changed into a prime (2781067537) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 985135 + ... + 987953.

It is an arithmetic number, because the mean of its divisors is an integer number (38185056).

Almost surely, 2^2781067536 is an apocalyptic number.

2781067536 is a gapful number since it is divisible by the number (26) 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 2781067536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4582206720).

2781067536 is an abundant number, since it is smaller than the sum of its proper divisors (6383345904).

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

2781067536 is a wasteful number, since it uses less digits than its factorization.

2781067536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2894 (or 2885 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 2781067536 is about 52735.8278213209. The cubic root of 2781067536 is about 1406.2758278160.

The spelling of 2781067536 in words is "two billion, seven hundred eighty-one million, sixty-seven thousand, five hundred thirty-six".