2477985768 has 96 divisors (see below), whose sum is σ = 6964626240. Its totient is φ = 795352320.

The previous prime is 2477985761. The next prime is 2477985779. The reversal of 2477985768 is 8675897742.

2477985768 is a `hidden beast` number, since 2 + 477 + 98 + 5 + 76 + 8 = 666.

It is a super-2 number, since 2×2477985768² = 12280826932821099648, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2477985761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 214180 + ... + 225452.

It is an arithmetic number, because the mean of its divisors is an integer number (72548190).

Almost surely, 2^2477985768 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 2477985768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3482313120).

2477985768 is an abundant number, since it is smaller than the sum of its proper divisors (4486640472).

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

2477985768 is a wasteful number, since it uses less digits than its factorization.

2477985768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11399 (or 11392 counting only the distinct ones).

The product of its digits is 47416320, while the sum is 63.

The square root of 2477985768 is about 49779.3709080378. The cubic root of 2477985768 is about 1353.2133363370.

The spelling of 2477985768 in words is "two billion, four hundred seventy-seven million, nine hundred eighty-five thousand, seven hundred sixty-eight".