2106910310400 has 1539 divisors, whose sum is σ = 9116851284489. Its totient is φ = 481579499520.

The previous prime is 2106910310389. The next prime is 2106910310443. The reversal of 2106910310400 is 40130196012.

The square root of 2106910310400 is 1451520.

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

It is a Jordan-Polya number, since it can be written as (9!)² ⋅ (2!)⁴.

2106910310400 is a `hidden beast` number, since 210 + 6 + 9 + 10 + 31 + 0 + 400 = 666.

It can be written as a sum of positive squares in only one way, i.e., 758487711744 + 1348422598656 = 870912^2 + 1161216^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 300987187197 + ... + 300987187203.

Almost surely, 2^{2106910310400} is an apocalyptic number.

2106910310400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2106910310400 is the 1451520-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2106910310400

2106910310400 is an abundant number, since it is smaller than the sum of its proper divisors (7009940974089).

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

2106910310400 is an frugal number, since it uses more digits than its factorization.

2106910310400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

2106910310400 divided by its product of nonzero digits (1296) gives a square (1625702400 = 40320²).

The spelling of 2106910310400 in words is "two trillion, one hundred six billion, nine hundred ten million, three hundred ten thousand, four hundred".