2762489856 has 360 divisors, whose sum is σ = 9084585216. Its totient is φ = 743178240.

The previous prime is 2762489837. The next prime is 2762489929. The reversal of 2762489856 is 6589842672.

It is a happy number.

Its product of digits (11612160) is a multiple of the sum of its prime divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 2762489796 and 2762489805.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74661870 + ... + 74661906.

Almost surely, 2^2762489856 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 2762489856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4542292608).

2762489856 is an abundant number, since it is smaller than the sum of its proper divisors (6322095360).

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

2762489856 is an equidigital number, since it uses as much as digits as its factorization.

2762489856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 80 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 57.

The square root of 2762489856 is about 52559.3936038079. The cubic root of 2762489856 is about 1403.1374967338.

The spelling of 2762489856 in words is "two billion, seven hundred sixty-two million, four hundred eighty-nine thousand, eight hundred fifty-six".