2530165248 has 450 divisors, whose sum is σ = 8630522109. Its totient is φ = 737538048.

The previous prime is 2530165237. The next prime is 2530165249. The reversal of 2530165248 is 8425610352.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

2530165248 is a `hidden beast` number, since 253 + 0 + 165 + 248 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2163366144 + 366799104 = 46512^2 + 19152^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=35568.

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

It is not an unprimeable number, because it can be changed into a prime (2530165249) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 133166583 + ... + 133166601.

Almost surely, 2^2530165248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2530165248

2530165248 is an abundant number, since it is smaller than the sum of its proper divisors (6100356861).

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

2530165248 is an equidigital number, since it uses as much as digits as its factorization.

2530165248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 2530165248 is about 50300.7479864862. The cubic root of 2530165248 is about 1362.6457377761.

The spelling of 2530165248 in words is "two billion, five hundred thirty million, one hundred sixty-five thousand, two hundred forty-eight".