2785648029696 has 520 divisors, whose sum is σ = 9617899721760. Its totient is φ = 786898354176.

The previous prime is 2785648029683. The next prime is 2785648029701. The reversal of 2785648029696 is 6969208465872.

It is a happy number.

2785648029696 is a `hidden beast` number, since 2 + 7 + 8 + 56 + 480 + 2 + 9 + 6 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 206689710 + ... + 206703186.

Almost surely, 2^{2785648029696} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2785648029696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4808949860880).

2785648029696 is an abundant number, since it is smaller than the sum of its proper divisors (6832251692064).

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

2785648029696 is an equidigital number, since it uses as much as digits as its factorization.

2785648029696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13609 (or 13578 counting only the distinct ones).

The product of its (nonzero) digits is 627056640, while the sum is 72.

The spelling of 2785648029696 in words is "two trillion, seven hundred eighty-five billion, six hundred forty-eight million, twenty-nine thousand, six hundred ninety-six".