2782265780736 has 400 divisors, whose sum is σ = 9231668802048. Its totient is φ = 828461260800.

The previous prime is 2782265780717. The next prime is 2782265780741. The reversal of 2782265780736 is 6370875622872.

2782265780736 is a `hidden beast` number, since 2 + 7 + 8 + 2 + 26 + 578 + 0 + 7 + 36 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16629981 + ... + 16796451.

Almost surely, 2^{2782265780736} is an apocalyptic number.

2782265780736 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 2782265780736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4615834401024).

2782265780736 is an abundant number, since it is smaller than the sum of its proper divisors (6449403021312).

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

2782265780736 is a wasteful number, since it uses less digits than its factorization.

2782265780736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166545 (or 166520 counting only the distinct ones).

The product of its (nonzero) digits is 94832640, while the sum is 63.

The spelling of 2782265780736 in words is "two trillion, seven hundred eighty-two billion, two hundred sixty-five million, seven hundred eighty thousand, seven hundred thirty-six".