2475270144 has 336 divisors, whose sum is σ = 7989661440. Its totient is φ = 756449280.

The previous prime is 2475270053. The next prime is 2475270151. The reversal of 2475270144 is 4410725742.

2475270144 is a `hidden beast` number, since 247 + 5 + 270 + 144 = 666.

It is a super-2 number, since 2×2475270144² = 12253924571555561472, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2475270099 and 2475270108.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79847409 + ... + 79847439.

Almost surely, 2^2475270144 is an apocalyptic number.

2475270144 is a gapful number since it is divisible by the number (24) 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 2475270144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3994830720).

2475270144 is an abundant number, since it is smaller than the sum of its proper divisors (5514391296).

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

2475270144 is an equidigital number, since it uses as much as digits as its factorization.

2475270144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 36.

The square root of 2475270144 is about 49752.0868306044. The cubic root of 2475270144 is about 1352.7188269267.

Adding to 2475270144 its reverse (4410725742), we get a palindrome (6885995886).

The spelling of 2475270144 in words is "two billion, four hundred seventy-five million, two hundred seventy thousand, one hundred forty-four".