2768562720 has 1152 divisors, whose sum is σ = 13031020800. Its totient is φ = 541900800.

The previous prime is 2768562701. The next prime is 2768562721. The reversal of 2768562720 is 272658672.

2768562720 is a `hidden beast` number, since 2 + 7 + 68 + 562 + 7 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2768562721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 67525900 + ... + 67525940.

It is an arithmetic number, because the mean of its divisors is an integer number (11311650).

Almost surely, 2^2768562720 is an apocalyptic number.

2768562720 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 2768562720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6515510400).

2768562720 is an abundant number, since it is smaller than the sum of its proper divisors (10262458080).

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

2768562720 is a wasteful number, since it uses less digits than its factorization.

2768562720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 2768562720 is about 52617.1333312639. The cubic root of 2768562720 is about 1404.1649305843.

The spelling of 2768562720 in words is "two billion, seven hundred sixty-eight million, five hundred sixty-two thousand, seven hundred twenty".