2540992214401 has 3 divisors (see below), whose sum is σ = 2540993808451. Its totient is φ = 2540990620352.

The previous prime is 2540992214393. The next prime is 2540992214413. The reversal of 2540992214401 is 1044122990452.

The square root of 2540992214401 is 1594049.

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

2540992214401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 1056786056001 + 1484206158400 = 1028001^2 + 1218280^2 .

It is not a de Polignac number, because 2540992214401 - 2³ = 2540992214393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2540992215401) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 797025 + ... + 2391073.

Almost surely, 2^{2540992214401} is an apocalyptic number.

2540992214401 is the 1594049-th square number.

2540992214401 is the 797025-th centered octagonal number.

It is an amenable number.

2540992214401 is a deficient number, since it is larger than the sum of its proper divisors (1594050).

2540992214401 is an frugal number, since it uses more digits than its factorization.

2540992214401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3188098 (or 1594049 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 43.

The spelling of 2540992214401 in words is "two trillion, five hundred forty billion, nine hundred ninety-two million, two hundred fourteen thousand, four hundred one".