2584850053407 has 64 divisors (see below), whose sum is σ = 3673586442240. Its totient is φ = 1612106496000.

The previous prime is 2584850053241. The next prime is 2584850053421. The reversal of 2584850053407 is 7043500584852.

2584850053407 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2584850053407 - 2²² = 2584845859103 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2584850053407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2584850053447) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1614521407 + ... + 1614523007.

It is an arithmetic number, because the mean of its divisors is an integer number (57399788160).

Almost surely, 2^{2584850053407} is an apocalyptic number.

2584850053407 is a deficient number, since it is larger than the sum of its proper divisors (1088736388833).

2584850053407 is a wasteful number, since it uses less digits than its factorization.

2584850053407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2684.

The product of its (nonzero) digits is 5376000, while the sum is 51.

The spelling of 2584850053407 in words is "two trillion, five hundred eighty-four billion, eight hundred fifty million, fifty-three thousand, four hundred seven".