2478259914001 has 3 divisors (see below), whose sum is σ = 2478261488251. Its totient is φ = 2478258339752.

The previous prime is 2478259913953. The next prime is 2478259914017. The reversal of 2478259914001 is 1004199528742.

The square root of 2478259914001 is 1574249.

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

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., 1967149307601 + 511110606400 = 1402551^2 + 714920^2 .

It is not a de Polignac number, because 2478259914001 - 2⁹ = 2478259913489 is a prime.

It is a super-2 number, since 2×2478259914001² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2478259914001.

It is not an unprimeable number, because it can be changed into a prime (2478259914601) 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, 787125 + ... + 2361373.

Almost surely, 2^{2478259914001} is an apocalyptic number.

2478259914001 is the 1574249-th square number.

2478259914001 is the 787125-th centered octagonal number.

It is an amenable number.

2478259914001 is a deficient number, since it is larger than the sum of its proper divisors (1574250).

2478259914001 is an frugal number, since it uses more digits than its factorization.

2478259914001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3148498 (or 1574249 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 52.

The spelling of 2478259914001 in words is "two trillion, four hundred seventy-eight billion, two hundred fifty-nine million, nine hundred fourteen thousand, one".