2579671825920 has 1440 divisors, whose sum is σ = 10907523177408. Its totient is φ = 572735619072.

The previous prime is 2579671825889. The next prime is 2579671825963. The reversal of 2579671825920 is 295281769752.

2579671825920 is a `hidden beast` number, since 2 + 579 + 6 + 7 + 1 + 8 + 2 + 59 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4350205144 + ... + 4350205736.

Almost surely, 2^{2579671825920} is an apocalyptic number.

2579671825920 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 2579671825920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5453761588704).

2579671825920 is an abundant number, since it is smaller than the sum of its proper divisors (8327851351488).

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

2579671825920 is an frugal number, since it uses more digits than its factorization.

2579671825920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 38102400, while the sum is 63.

The spelling of 2579671825920 in words is "two trillion, five hundred seventy-nine billion, six hundred seventy-one million, eight hundred twenty-five thousand, nine hundred twenty".