2572065634320 has 1440 divisors, whose sum is σ = 11209527044352. Its totient is φ = 536617156608.

The previous prime is 2572065634277. The next prime is 2572065634379. The reversal of 2572065634320 is 234365602752.

2572065634320 is a `hidden beast` number, since 2 + 5 + 7 + 2 + 0 + 6 + 5 + 634 + 3 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2230758864 + ... + 2230760016.

Almost surely, 2^{2572065634320} is an apocalyptic number.

2572065634320 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 2572065634320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5604763522176).

2572065634320 is an abundant number, since it is smaller than the sum of its proper divisors (8637461410032).

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

2572065634320 is a wasteful number, since it uses less digits than its factorization.

2572065634320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1311 (or 1280 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 45.

The spelling of 2572065634320 in words is "two trillion, five hundred seventy-two billion, sixty-five million, six hundred thirty-four thousand, three hundred twenty".