2816952768 has 672 divisors, whose sum is σ = 10841126400. Its totient is φ = 710664192.

The previous prime is 2816952739. The next prime is 2816952773. The reversal of 2816952768 is 8672596182.

2816952768 is a `hidden beast` number, since 281 + 6 + 95 + 276 + 8 = 666.

2816952768 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 tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27349005 + ... + 27349107.

Almost surely, 2^2816952768 is an apocalyptic number.

2816952768 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 2816952768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5420563200).

2816952768 is an abundant number, since it is smaller than the sum of its proper divisors (8024173632).

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

2816952768 is a wasteful number, since it uses less digits than its factorization.

2816952768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 151 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The square root of 2816952768 is about 53074.9730852499. The cubic root of 2816952768 is about 1412.2985776743.

The spelling of 2816952768 in words is "two billion, eight hundred sixteen million, nine hundred fifty-two thousand, seven hundred sixty-eight".