2129206272400 has 45 divisors (see below), whose sum is σ = 5115488184001. Its totient is φ = 851670835520.

The previous prime is 2129206272397. The next prime is 2129206272433. The reversal of 2129206272400 is 42726029212.

It is a happy number.

The square root of 2129206272400 is 1459180.

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., 766514258064 + 1362692014336 = 875508^2 + 1167344^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2129206272400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 29147121 + ... + 29220079.

Almost surely, 2^{2129206272400} is an apocalyptic number.

2129206272400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2129206272400 is the 1459180-th square number.

It is an amenable number.

2129206272400 is an abundant number, since it is smaller than the sum of its proper divisors (2986281911601).

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

2129206272400 is an frugal number, since it uses more digits than its factorization.

2129206272400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145936 (or 72966 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The spelling of 2129206272400 in words is "two trillion, one hundred twenty-nine billion, two hundred six million, two hundred seventy-two thousand, four hundred".