2079710094400 has 189 divisors, whose sum is σ = 5292339293253. Its totient is φ = 804356851200.

The previous prime is 2079710094389. The next prime is 2079710094433. The reversal of 2079710094400 is 44900179702.

The square root of 2079710094400 is 1442120.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 748695633984 + 1331014460416 = 865272^2 + 1153696^2 .

It is a super-2 number, since 2×2079710094400² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1788228219 + ... + 1788229381.

Almost surely, 2^{2079710094400} is an apocalyptic number.

2079710094400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2079710094400 is the 1442120-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2079710094400

2079710094400 is an abundant number, since it is smaller than the sum of its proper divisors (3212629198853).

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

2079710094400 is an frugal number, since it uses more digits than its factorization.

2079710094400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2410 (or 1201 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 43.

The spelling of 2079710094400 in words is "two trillion, seventy-nine billion, seven hundred ten million, ninety-four thousand, four hundred".