2574279680 has 264 divisors, whose sum is σ = 7437586176. Its totient is φ = 851558400.

The previous prime is 2574279671. The next prime is 2574279691. The reversal of 2574279680 is 869724752.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7777115 + ... + 7777445.

Almost surely, 2^2574279680 is an apocalyptic number.

2574279680 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 2574279680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3718793088).

2574279680 is an abundant number, since it is smaller than the sum of its proper divisors (4863306496).

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

2574279680 is a wasteful number, since it uses less digits than its factorization.

2574279680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 50.

The square root of 2574279680 is about 50737.3598051771. The cubic root of 2574279680 is about 1370.5195748898.

The spelling of 2574279680 in words is "two billion, five hundred seventy-four million, two hundred seventy-nine thousand, six hundred eighty".