2679428160 has 280 divisors, whose sum is σ = 9603760320. Its totient is φ = 709088256.

The previous prime is 2679428131. The next prime is 2679428173. The reversal of 2679428160 is 618249762.

It is a happy number.

2679428160 is a `hidden beast` number, since 2 + 67 + 9 + 428 + 160 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4328331 + ... + 4328949.

It is an arithmetic number, because the mean of its divisors is an integer number (34299144).

Almost surely, 2^2679428160 is an apocalyptic number.

2679428160 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 2679428160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4801880160).

2679428160 is an abundant number, since it is smaller than the sum of its proper divisors (6924332160).

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

2679428160 is a wasteful number, since it uses less digits than its factorization.

2679428160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 2679428160 is about 51763.1931008897. The cubic root of 2679428160 is about 1388.9311106904.

The spelling of 2679428160 in words is "two billion, six hundred seventy-nine million, four hundred twenty-eight thousand, one hundred sixty".