2129007828544 has 21 divisors (see below), whose sum is σ = 4224773073297. Its totient is φ = 1064498077824.

The previous prime is 2129007828539. The next prime is 2129007828583. The reversal of 2129007828544 is 4458287009212.

The square root of 2129007828544 is 1459112.

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., 2047440468544 + 81567360000 = 1430888^2 + 285600^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2129007828491 and 2129007828500.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 11581702 + ... + 11764090.

It is an arithmetic number, because the mean of its divisors is an integer number (201179670157).

Almost surely, 2^{2129007828544} is an apocalyptic number.

2129007828544 is the 1459112-nd square number.

It is an amenable number.

2129007828544 is a deficient number, since it is larger than the sum of its proper divisors (2095765244753).

2129007828544 is an frugal number, since it uses more digits than its factorization.

2129007828544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364790 (or 182391 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 52.

The spelling of 2129007828544 in words is "two trillion, one hundred twenty-nine billion, seven million, eight hundred twenty-eight thousand, five hundred forty-four".