2763061248 has 192 divisors, whose sum is σ = 7736601600. Its totient is φ = 875888640.

The previous prime is 2763061241. The next prime is 2763061267. The reversal of 2763061248 is 8421603672.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2763061241) 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 15 ways as a sum of consecutive naturals, for example, 16951215 + ... + 16951377.

It is an arithmetic number, because the mean of its divisors is an integer number (40294800).

Almost surely, 2^2763061248 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 2763061248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3868300800).

2763061248 is an abundant number, since it is smaller than the sum of its proper divisors (4973540352).

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

2763061248 is a wasteful number, since it uses less digits than its factorization.

2763061248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 2763061248 is about 52564.8290019096. The cubic root of 2763061248 is about 1403.2342314805.

The spelling of 2763061248 in words is "two billion, seven hundred sixty-three million, sixty-one thousand, two hundred forty-eight".