2475970560 has 624 divisors, whose sum is σ = 10426815360. Its totient is φ = 530841600.

The previous prime is 2475970543. The next prime is 2475970571. The reversal of 2475970560 is 650795742.

2475970560 is a `hidden beast` number, since 2 + 4 + 7 + 597 + 0 + 56 + 0 = 666.

It is a super-2 number, since 2×2475970560² = 12260860427973427200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24514510 + ... + 24514610.

It is an arithmetic number, because the mean of its divisors is an integer number (16709640).

Almost surely, 2^2475970560 is an apocalyptic number.

2475970560 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 2475970560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5213407680).

2475970560 is an abundant number, since it is smaller than the sum of its proper divisors (7950844800).

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

2475970560 is a wasteful number, since it uses less digits than its factorization.

2475970560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The square root of 2475970560 is about 49759.1253942430. The cubic root of 2475970560 is about 1352.8464058039.

The spelling of 2475970560 in words is "two billion, four hundred seventy-five million, nine hundred seventy thousand, five hundred sixty".