2679948936 has 128 divisors (see below), whose sum is σ = 8955648000. Its totient is φ = 725391936.

The previous prime is 2679948923. The next prime is 2679948959. The reversal of 2679948936 is 6398499762.

2679948936 is a `hidden beast` number, since 2 + 67 + 99 + 489 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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, 17916 + ... + 75371.

It is an arithmetic number, because the mean of its divisors is an integer number (69966000).

Almost surely, 2^2679948936 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 2679948936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4477824000).

2679948936 is an abundant number, since it is smaller than the sum of its proper divisors (6275699064).

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

2679948936 is a wasteful number, since it uses less digits than its factorization.

2679948936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93328 (or 93318 counting only the distinct ones).

The product of its digits is 35271936, while the sum is 63.

The square root of 2679948936 is about 51768.2232262225. The cubic root of 2679948936 is about 1389.0210894829.

The spelling of 2679948936 in words is "two billion, six hundred seventy-nine million, nine hundred forty-eight thousand, nine hundred thirty-six".