2678913048 has 128 divisors (see below), whose sum is σ = 7951104000. Its totient is φ = 735920640.

The previous prime is 2678913043. The next prime is 2678913067. The reversal of 2678913048 is 8403198762.

It is a junction number, because it is equal to n+sod(n) for n = 2678912988 and 2678913006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2678913043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1319298 + ... + 1321326.

It is an arithmetic number, because the mean of its divisors is an integer number (62118000).

Almost surely, 2^2678913048 is an apocalyptic number.

2678913048 is a gapful number since it is divisible by the number (28) 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 2678913048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3975552000).

2678913048 is an abundant number, since it is smaller than the sum of its proper divisors (5272190952).

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

2678913048 is a wasteful number, since it uses less digits than its factorization.

2678913048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2345 (or 2341 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The square root of 2678913048 is about 51758.2172026819. The cubic root of 2678913048 is about 1388.8420990441.

The spelling of 2678913048 in words is "two billion, six hundred seventy-eight million, nine hundred thirteen thousand, forty-eight".