2761228568 has 64 divisors (see below), whose sum is σ = 6305679360. Its totient is φ = 1107824256.

The previous prime is 2761228543. The next prime is 2761228571. The reversal of 2761228568 is 8658221672.

It is a Harshad number since it is a multiple of its sum of digits (47).

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, 37730 + ... + 83342.

It is an arithmetic number, because the mean of its divisors is an integer number (98526240).

Almost surely, 2^2761228568 is an apocalyptic number.

2761228568 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 2761228568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3152839680).

2761228568 is an abundant number, since it is smaller than the sum of its proper divisors (3544450792).

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

2761228568 is a wasteful number, since it uses less digits than its factorization.

2761228568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45696 (or 45692 counting only the distinct ones).

The product of its digits is 645120, while the sum is 47.

The square root of 2761228568 is about 52547.3935414498. The cubic root of 2761228568 is about 1402.9239176812.

The spelling of 2761228568 in words is "two billion, seven hundred sixty-one million, two hundred twenty-eight thousand, five hundred sixty-eight".