2816694144 has 240 divisors, whose sum is σ = 8969196600. Its totient is φ = 848432640.

The previous prime is 2816694143. The next prime is 2816694157. The reversal of 2816694144 is 4414966182.

2816694144 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2816694144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2816694143) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 16866349 + ... + 16866515.

Almost surely, 2^2816694144 is an apocalyptic number.

2816694144 is a gapful number since it is divisible by the number (24) 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 2816694144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4484598300).

2816694144 is an abundant number, since it is smaller than the sum of its proper divisors (6152502456).

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

2816694144 is an equidigital number, since it uses as much as digits as its factorization.

2816694144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 183 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 2816694144 is about 53072.5366267715. The cubic root of 2816694144 is about 1412.2553553798.

The spelling of 2816694144 in words is "two billion, eight hundred sixteen million, six hundred ninety-four thousand, one hundred forty-four".