2676738048 has 192 divisors, whose sum is σ = 7512523200. Its totient is φ = 846397440.

The previous prime is 2676738047. The next prime is 2676738067. The reversal of 2676738048 is 8408376762.

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

It is a super-2 number, since 2×2676738048² = 14329853155221700608, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2676738047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14788518 + ... + 14788698.

It is an arithmetic number, because the mean of its divisors is an integer number (39127725).

Almost surely, 2^2676738048 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 2676738048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3756261600).

2676738048 is an abundant number, since it is smaller than the sum of its proper divisors (4835785152).

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

2676738048 is a wasteful number, since it uses less digits than its factorization.

2676738048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 51.

The square root of 2676738048 is about 51737.2017797639. The cubic root of 2676738048 is about 1388.4661319525.

The spelling of 2676738048 in words is "two billion, six hundred seventy-six million, seven hundred thirty-eight thousand, forty-eight".