2245975600 has 60 divisors (see below), whose sum is σ = 5886509400. Its totient is φ = 816716800.

The previous prime is 2245975421. The next prime is 2245975607. The reversal of 2245975600 is 65795422.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (2245975607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 250825 + ... + 259624.

It is an arithmetic number, because the mean of its divisors is an integer number (98108490).

Almost surely, 2^2245975600 is an apocalyptic number.

2245975600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2245975600 is an abundant number, since it is smaller than the sum of its proper divisors (3640533800).

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

2245975600 is a wasteful number, since it uses less digits than its factorization.

2245975600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510478 (or 510467 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 40.

The square root of 2245975600 is about 47391.7250160827. The cubic root of 2245975600 is about 1309.5889781363.

The spelling of 2245975600 in words is "two billion, two hundred forty-five million, nine hundred seventy-five thousand, six hundred".