2575217722000 has 640 divisors, whose sum is σ = 7951479644160. Its totient is φ = 783417600000.

The previous prime is 2575217721991. The next prime is 2575217722031. The reversal of 2575217722000 is 2277125752.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1371985062 + ... + 1371986938.

It is an arithmetic number, because the mean of its divisors is an integer number (12424186944).

Almost surely, 2^{2575217722000} is an apocalyptic number.

2575217722000 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 2575217722000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3975739822080).

2575217722000 is an abundant number, since it is smaller than the sum of its proper divisors (5376261922160).

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

2575217722000 is a wasteful number, since it uses less digits than its factorization.

2575217722000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2128 (or 2112 counting only the distinct ones).

The product of its (nonzero) digits is 137200, while the sum is 40.

The spelling of 2575217722000 in words is "two trillion, five hundred seventy-five billion, two hundred seventeen million, seven hundred twenty-two thousand".