2763948096 has 672 divisors, whose sum is σ = 10637276160. Its totient is φ = 705438720.

The previous prime is 2763948091. The next prime is 2763948097. The reversal of 2763948096 is 6908493672.

It is a happy number.

2763948096 is a `hidden beast` number, since 2 + 76 + 3 + 9 + 480 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2763948091) 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 95 ways as a sum of consecutive naturals, for example, 89159601 + ... + 89159631.

It is an arithmetic number, because the mean of its divisors is an integer number (15829280).

Almost surely, 2^2763948096 is an apocalyptic number.

2763948096 is a gapful number since it is divisible by the number (26) 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 2763948096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5318638080).

2763948096 is an abundant number, since it is smaller than the sum of its proper divisors (7873328064).

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

2763948096 is an equidigital number, since it uses as much as digits as its factorization.

2763948096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The square root of 2763948096 is about 52573.2640797583. The cubic root of 2763948096 is about 1403.3843454593.

The spelling of 2763948096 in words is "two billion, seven hundred sixty-three million, nine hundred forty-eight thousand, ninety-six".