2572001752320 has 5184 divisors, whose sum is σ = 13508962790400. Its totient is φ = 456497233920.

The previous prime is 2572001752319. The next prime is 2572001752321. The reversal of 2572001752320 is 232571002752.

2572001752320 is a `hidden beast` number, since 2 + 57 + 200 + 175 + 232 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2572001752319) and next prime (2572001752321).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2572001752321) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 59813994219 + ... + 59813994261.

It is an arithmetic number, because the mean of its divisors is an integer number (2605895600).

Almost surely, 2^{2572001752320} is an apocalyptic number.

2572001752320 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 2572001752320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6754481395200).

2572001752320 is an abundant number, since it is smaller than the sum of its proper divisors (10936961038080).

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

2572001752320 is a wasteful number, since it uses less digits than its factorization.

2572001752320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The spelling of 2572001752320 in words is "two trillion, five hundred seventy-two billion, one million, seven hundred fifty-two thousand, three hundred twenty".