2585679233430 has 128 divisors (see below), whose sum is σ = 6471801815040. Its totient is φ = 660415150080.

The previous prime is 2585679233413. The next prime is 2585679233447. The reversal of 2585679233430 is 343329765852.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2585679233413) and next prime (2585679233447).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 74491459 + ... + 74526161.

It is an arithmetic number, because the mean of its divisors is an integer number (50560951680).

Almost surely, 2^{2585679233430} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2585679233430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3235900907520).

2585679233430 is an abundant number, since it is smaller than the sum of its proper divisors (3886122581610).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2585679233430 is a wasteful number, since it uses less digits than its factorization.

2585679233430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35566.

The product of its (nonzero) digits is 32659200, while the sum is 57.

The spelling of 2585679233430 in words is "two trillion, five hundred eighty-five billion, six hundred seventy-nine million, two hundred thirty-three thousand, four hundred thirty".