2605064131020 has 192 divisors, whose sum is σ = 7900425953280. Its totient is φ = 637563878400.

The previous prime is 2605064130997. The next prime is 2605064131031. The reversal of 2605064131020 is 201314605062.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 433379815 + ... + 433385825.

It is an arithmetic number, because the mean of its divisors is an integer number (41148051840).

Almost surely, 2^{2605064131020} is an apocalyptic number.

2605064131020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2605064131020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3950212976640).

2605064131020 is an abundant number, since it is smaller than the sum of its proper divisors (5295361822260).

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

2605064131020 is a wasteful number, since it uses less digits than its factorization.

2605064131020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9136 (or 9134 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 2605064131020 its reverse (201314605062), we get a palindrome (2806378736082).

The spelling of 2605064131020 in words is "two trillion, six hundred five billion, sixty-four million, one hundred thirty-one thousand, twenty".