2768281152 has 448 divisors, whose sum is σ = 9831628800. Its totient is φ = 666869760.

The previous prime is 2768281141. The next prime is 2768281163. The reversal of 2768281152 is 2511828672.

It is an interprime number because it is at equal distance from previous prime (2768281141) and next prime (2768281163).

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10290874 + ... + 10291142.

It is an arithmetic number, because the mean of its divisors is an integer number (21945600).

Almost surely, 2^2768281152 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 2768281152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4915814400).

2768281152 is an abundant number, since it is smaller than the sum of its proper divisors (7063347648).

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

2768281152 is a wasteful number, since it uses less digits than its factorization.

2768281152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 344 counting only the distinct ones).

The product of its digits is 107520, while the sum is 42.

The square root of 2768281152 is about 52614.4576328598. The cubic root of 2768281152 is about 1404.1173269051.

The spelling of 2768281152 in words is "two billion, seven hundred sixty-eight million, two hundred eighty-one thousand, one hundred fifty-two".