2768487552 has 256 divisors, whose sum is σ = 8827488000. Its totient is φ = 851558400.

The previous prime is 2768487517. The next prime is 2768487571. The reversal of 2768487552 is 2557848672.

2768487552 is a `hidden beast` number, since 2 + 7 + 6 + 8 + 4 + 87 + 552 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2304552 + ... + 2305752.

It is an arithmetic number, because the mean of its divisors is an integer number (34482375).

Almost surely, 2^2768487552 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 2768487552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4413744000).

2768487552 is an abundant number, since it is smaller than the sum of its proper divisors (6059000448).

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

2768487552 is a wasteful number, since it uses less digits than its factorization.

2768487552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1276 (or 1258 counting only the distinct ones).

The product of its digits is 7526400, while the sum is 54.

The square root of 2768487552 is about 52616.4190343661. The cubic root of 2768487552 is about 1404.1522225194.

The spelling of 2768487552 in words is "two billion, seven hundred sixty-eight million, four hundred eighty-seven thousand, five hundred fifty-two".