2067984926401 has 27 divisors (see below), whose sum is σ = 2161322071587. Its totient is φ = 1978640380080.

The previous prime is 2067984926383. The next prime is 2067984926411. The reversal of 2067984926401 is 1046294897602.

The square root of 2067984926401 is 1438049.

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., 1490804370225 + 577180556176 = 1220985^2 + 759724^2 .

It is not a de Polignac number, because 2067984926401 - 2¹¹ = 2067984924353 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2067984926411) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3277313356 + ... + 3277313986.

Almost surely, 2^{2067984926401} is an apocalyptic number.

2067984926401 is the 1438049-th square number.

2067984926401 is the 719025-th centered octagonal number.

It is an amenable number.

2067984926401 is a deficient number, since it is larger than the sum of its proper divisors (93337145186).

2067984926401 is an frugal number, since it uses more digits than its factorization.

2067984926401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1454 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 58.

The spelling of 2067984926401 in words is "two trillion, sixty-seven billion, nine hundred eighty-four million, nine hundred twenty-six thousand, four hundred one".