2575165440 has 192 divisors, whose sum is σ = 8724905280. Its totient is φ = 646184960.

The previous prime is 2575165429. The next prime is 2575165451. The reversal of 2575165440 is 445615752.

It is an interprime number because it is at equal distance from previous prime (2575165429) and next prime (2575165451).

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 519775 + ... + 524705.

It is an arithmetic number, because the mean of its divisors is an integer number (45442215).

Almost surely, 2^2575165440 is an apocalyptic number.

2575165440 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 2575165440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4362452640).

2575165440 is an abundant number, since it is smaller than the sum of its proper divisors (6149739840).

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

2575165440 is a wasteful number, since it uses less digits than its factorization.

2575165440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4978 (or 4958 counting only the distinct ones).

The product of its (nonzero) digits is 168000, while the sum is 39.

The square root of 2575165440 is about 50746.0879280364. The cubic root of 2575165440 is about 1370.6767466509.

The spelling of 2575165440 in words is "two billion, five hundred seventy-five million, one hundred sixty-five thousand, four hundred forty".