2508284774401 has 8 divisors (see below), whose sum is σ = 2867653976000. Its totient is φ = 2149176274128.

The previous prime is 2508284774363. The next prime is 2508284774423. The reversal of 2508284774401 is 1044774828052.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2508284774401 - 2³³ = 2499694839809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2508284774461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65154711 + ... + 65193196.

It is an arithmetic number, because the mean of its divisors is an integer number (358456747000).

Almost surely, 2^{2508284774401} is an apocalyptic number.

It is an amenable number.

2508284774401 is a deficient number, since it is larger than the sum of its proper divisors (359369201599).

2508284774401 is a wasteful number, since it uses less digits than its factorization.

2508284774401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130350663.

The product of its (nonzero) digits is 4014080, while the sum is 52.

The spelling of 2508284774401 in words is "two trillion, five hundred eight billion, two hundred eighty-four million, seven hundred seventy-four thousand, four hundred one".