2893686768 has 420 divisors, whose sum is σ = 10058371848. Its totient is φ = 803416320.

The previous prime is 2893686767. The next prime is 2893686769. The reversal of 2893686768 is 8676863982.

It is an interprime number because it is at equal distance from previous prime (2893686767) and next prime (2893686769).

It is a super-2 number, since 2×2893686768² = 16746846222596571648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2893686767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 34863655 + ... + 34863737.

Almost surely, 2^2893686768 is an apocalyptic number.

2893686768 is a gapful number since it is divisible by the number (28) 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 2893686768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5029185924).

2893686768 is an abundant number, since it is smaller than the sum of its proper divisors (7164685080).

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

2893686768 is an equidigital number, since it uses as much as digits as its factorization.

2893686768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 156 counting only the distinct ones).

The product of its digits is 41803776, while the sum is 63.

The square root of 2893686768 is about 53792.9992471139. Note that the first 3 decimals coincide. The cubic root of 2893686768 is about 1425.0075744750.

The spelling of 2893686768 in words is "two billion, eight hundred ninety-three million, six hundred eighty-six thousand, seven hundred sixty-eight".