2691880083025 has 27 divisors (see below), whose sum is σ = 3882982512369. Its totient is φ = 1845821251680.

The previous prime is 2691880082933. The next prime is 2691880083037. The reversal of 2691880083025 is 5203800881962.

The square root of 2691880083025 is 1640695.

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

2691880083025 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1252628785681 + 1439251297344 = 1119209^2 + 1199688^2 .

It is not a de Polignac number, because 2691880083025 - 2⁷ = 2691880082897 is a prime.

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 26 ways as a sum of consecutive naturals, for example, 57400887 + ... + 57447763.

Almost surely, 2^{2691880083025} is an apocalyptic number.

2691880083025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2691880083025 is the 1640695-th square number.

2691880083025 is the 820348-th centered octagonal number.

It is an amenable number.

2691880083025 is a deficient number, since it is larger than the sum of its proper divisors (1191102429344).

2691880083025 is an frugal number, since it uses more digits than its factorization.

2691880083025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93778 (or 46889 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 52.

The spelling of 2691880083025 in words is "two trillion, six hundred ninety-one billion, eight hundred eighty million, eighty-three thousand, twenty-five".