2679242400 has 288 divisors, whose sum is σ = 10113102720. Its totient is φ = 683274240.

The previous prime is 2679242393. The next prime is 2679242417. The reversal of 2679242400 is 42429762.

2679242400 is a `hidden beast` number, since 2 + 6 + 7 + 9 + 242 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 494104 + ... + 499496.

It is an arithmetic number, because the mean of its divisors is an integer number (35114940).

Almost surely, 2^2679242400 is an apocalyptic number.

2679242400 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 2679242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5056551360).

2679242400 is an abundant number, since it is smaller than the sum of its proper divisors (7433860320).

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

2679242400 is a wasteful number, since it uses less digits than its factorization.

2679242400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5445 (or 5426 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 2679242400 is about 51761.3987446244. The cubic root of 2679242400 is about 1388.8990125721.

The spelling of 2679242400 in words is "two billion, six hundred seventy-nine million, two hundred forty-two thousand, four hundred".