2762256960 has 168 divisors, whose sum is σ = 9828931320. Its totient is φ = 711180288.

The previous prime is 2762256869. The next prime is 2762256997. The reversal of 2762256960 is 696522672.

2762256960 is a `hidden beast` number, since 2 + 7 + 6 + 22 + 569 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 272646144 + 2489610816 = 16512^2 + 49896^2 .

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 66984 + ... + 100056.

Almost surely, 2^2762256960 is an apocalyptic number.

2762256960 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 2762256960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4914465660).

2762256960 is an abundant number, since it is smaller than the sum of its proper divisors (7066674360).

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

2762256960 is a wasteful number, since it uses less digits than its factorization.

2762256960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33125 (or 33112 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 2762256960 is about 52557.1780064341. The cubic root of 2762256960 is about 1403.0980643966.

The spelling of 2762256960 in words is "two billion, seven hundred sixty-two million, two hundred fifty-six thousand, nine hundred sixty".