2625245460 has 288 divisors, whose sum is σ = 8544856320. Its totient is φ = 651442176.

The previous prime is 2625245459. The next prime is 2625245501. The reversal of 2625245460 is 645425262.

2625245460 is a `hidden beast` number, since 2 + 62 + 52 + 4 + 546 + 0 = 666.

It is a super-2 number, since 2×2625245460² = 13783827450501223200, which contains 22 as substring.

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

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 25487769 + ... + 25487871.

It is an arithmetic number, because the mean of its divisors is an integer number (29669640).

Almost surely, 2^2625245460 is an apocalyptic number.

2625245460 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 2625245460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4272428160).

2625245460 is an abundant number, since it is smaller than the sum of its proper divisors (5919610860).

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

2625245460 is a wasteful number, since it uses less digits than its factorization.

2625245460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 2625245460 is about 51237.1492181210. The cubic root of 2625245460 is about 1379.5050840268.

The spelling of 2625245460 in words is "two billion, six hundred twenty-five million, two hundred forty-five thousand, four hundred sixty".