2575505000 has 80 divisors (see below), whose sum is σ = 6052812480. Its totient is φ = 1027064000.

The previous prime is 2575504963. The next prime is 2575505011. The reversal of 2575505000 is 5055752.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2334449 + ... + 2335551.

It is an arithmetic number, because the mean of its divisors is an integer number (75660156).

Almost surely, 2^2575505000 is an apocalyptic number.

2575505000 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 2575505000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3026406240).

2575505000 is an abundant number, since it is smaller than the sum of its proper divisors (3477307480).

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

2575505000 is a wasteful number, since it uses less digits than its factorization.

2575505000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1596 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 8750, while the sum is 29.

The square root of 2575505000 is about 50749.4334943751. The cubic root of 2575505000 is about 1370.7369895818.

The spelling of 2575505000 in words is "two billion, five hundred seventy-five million, five hundred five thousand".