2761228000 has 96 divisors (see below), whose sum is σ = 6816464928. Its totient is φ = 1099264000.

The previous prime is 2761227979. The next prime is 2761228027. The reversal of 2761228000 is 8221672.

2761228000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2761228000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 906480 + ... + 909520.

It is an arithmetic number, because the mean of its divisors is an integer number (71004843).

Almost surely, 2^2761228000 is an apocalyptic number.

2761228000 is a gapful number since it is divisible by the number (20) 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 2761228000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3408232464).

2761228000 is an abundant number, since it is smaller than the sum of its proper divisors (4055236928).

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

2761228000 is a wasteful number, since it uses less digits than its factorization.

2761228000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3293 (or 3275 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 2761228000 is about 52547.3881368047. The cubic root of 2761228000 is about 1402.9238214847.

Adding to 2761228000 its reverse (8221672), we get a palindrome (2769449672).

The spelling of 2761228000 in words is "two billion, seven hundred sixty-one million, two hundred twenty-eight thousand".