2679225920 has 168 divisors, whose sum is σ = 7462829880. Its totient is φ = 913489920.

The previous prime is 2679225847. The next prime is 2679225937. The reversal of 2679225920 is 295229762.

It can be written as a sum of positive squares in 4 ways, for example, as 161594944 + 2517630976 = 12712^2 + 50176^2 .

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 23 ways as a sum of consecutive naturals, for example, 3778526 + ... + 3779234.

Almost surely, 2^2679225920 is an apocalyptic number.

2679225920 is a gapful number since it is divisible by the number (20) 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 2679225920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3731414940).

2679225920 is an abundant number, since it is smaller than the sum of its proper divisors (4783603960).

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

2679225920 is a wasteful number, since it uses less digits than its factorization.

2679225920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 44.

The square root of 2679225920 is about 51761.2395523909. The cubic root of 2679225920 is about 1388.8961648638.

The spelling of 2679225920 in words is "two billion, six hundred seventy-nine million, two hundred twenty-five thousand, nine hundred twenty".