2575502720 has 192 divisors, whose sum is σ = 7585176960. Its totient is φ = 830914560.

The previous prime is 2575502711. The next prime is 2575502747. The reversal of 2575502720 is 272055752.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 530705 + ... + 535535.

It is an arithmetic number, because the mean of its divisors is an integer number (39506130).

Almost surely, 2^2575502720 is an apocalyptic number.

2575502720 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 2575502720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3792588480).

2575502720 is an abundant number, since it is smaller than the sum of its proper divisors (5009674240).

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

2575502720 is a wasteful number, since it uses less digits than its factorization.

2575502720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4881 (or 4862 counting only the distinct ones).

The product of its (nonzero) digits is 49000, while the sum is 35.

The square root of 2575502720 is about 50749.4110310652. The cubic root of 2575502720 is about 1370.7365850940.

The spelling of 2575502720 in words is "two billion, five hundred seventy-five million, five hundred two thousand, seven hundred twenty".