2079815270400 has 2304 divisors, whose sum is σ = 9449308152000. Its totient is φ = 445906944000.

The previous prime is 2079815270399. The next prime is 2079815270411. The reversal of 2079815270400 is 40725189702.

It is a happy number.

2079815270400 is a `hidden beast` number, since 2 + 0 + 7 + 9 + 81 + 527 + 0 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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 143 ways as a sum of consecutive naturals, for example, 20592230350 + ... + 20592230450.

Almost surely, 2^{2079815270400} is an apocalyptic number.

2079815270400 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 2079815270400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4724654076000).

2079815270400 is an abundant number, since it is smaller than the sum of its proper divisors (7369492881600).

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

2079815270400 is a wasteful number, since it uses less digits than its factorization.

2079815270400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 2079815270400 in words is "two trillion, seventy-nine billion, eight hundred fifteen million, two hundred seventy thousand, four hundred".