2475561600 has 288 divisors, whose sum is σ = 9043320000. Its totient is φ = 644474880.

The previous prime is 2475561559. The next prime is 2475561601. The reversal of 2475561600 is 61655742.

It is a happy number.

2475561600 is a `hidden beast` number, since 2 + 47 + 5 + 5 + 6 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×2475561600² = 12256810470789120000, which contains 22 as substring.

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 (2475561601) 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 35 ways as a sum of consecutive naturals, for example, 1237401 + ... + 1239399.

Almost surely, 2^2475561600 is an apocalyptic number.

2475561600 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 2475561600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4521660000).

2475561600 is an abundant number, since it is smaller than the sum of its proper divisors (6567758400).

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

2475561600 is a wasteful number, since it uses less digits than its factorization.

2475561600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2072 (or 2052 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 2475561600 is about 49755.0158275525. The cubic root of 2475561600 is about 1352.7719177710.

The spelling of 2475561600 in words is "two billion, four hundred seventy-five million, five hundred sixty-one thousand, six hundred".