2472575625 has 225 divisors, whose sum is σ = 5309160681. Its totient is φ = 1145664000.

The previous prime is 2472575617. The next prime is 2472575629. The reversal of 2472575625 is 5265752742.

The square root of 2472575625 is 49725.

It is a perfect power (a square), and thus also a powerful number.

2472575625 is a `hidden beast` number, since 2 + 4 + 72 + 575 + 6 + 2 + 5 = 666.

It can be written as a sum of positive squares in 22 ways, for example, as 2134162809 + 338412816 = 46197^2 + 18396^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is not a de Polignac number, because 2472575625 - 2³ = 2472575617 is a prime.

It is a super-2 number, since 2×2472575625² = 12227260442688281250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (2472575629) by changing a digit.

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 224 ways as a sum of consecutive naturals, for example, 145445617 + ... + 145445633.

Almost surely, 2^2472575625 is an apocalyptic number.

2472575625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2472575625 is the 49725-th square number.

2472575625 is the 24863-rd centered octagonal number.

It is an amenable number.

2472575625 is an abundant number, since it is smaller than the sum of its proper divisors (2836585056).

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

2472575625 is an equidigital number, since it uses as much as digits as its factorization.

2472575625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 38 counting only the distinct ones).

The product of its digits is 1176000, while the sum is 45.

The cubic root of 2472575625 is about 1352.2278030840.

The spelling of 2472575625 in words is "two billion, four hundred seventy-two million, five hundred seventy-five thousand, six hundred twenty-five".