2123941890625 has 63 divisors (see below), whose sum is σ = 2705711909413. Its totient is φ = 1667237000000.

The previous prime is 2123941890617. The next prime is 2123941890673. The reversal of 2123941890625 is 5260981493212.

It is a happy number.

The square root of 2123941890625 is 1457375.

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

It can be written as a sum of positive squares in 10 ways, for example, as 1121212030129 + 1002729860496 = 1058873^2 + 1001364^2 .

It is not a de Polignac number, because 2123941890625 - 2³ = 2123941890617 is a prime.

It is a super-2 number, since 2×2123941890625² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 16213296810 + ... + 16213296940.

Almost surely, 2^{2123941890625} is an apocalyptic number.

2123941890625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2123941890625 is the 1457375-th square number.

2123941890625 is the 728688-th centered octagonal number.

It is an amenable number.

2123941890625 is a deficient number, since it is larger than the sum of its proper divisors (581770018788).

2123941890625 is an frugal number, since it uses more digits than its factorization.

2123941890625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 52.

The spelling of 2123941890625 in words is "two trillion, one hundred twenty-three billion, nine hundred forty-one million, eight hundred ninety thousand, six hundred twenty-five".