2245587600 has 120 divisors (see below), whose sum is σ = 7261008480. Its totient is φ = 593192960.

The previous prime is 2245587587. The next prime is 2245587607. The reversal of 2245587600 is 67855422.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (2245587607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119656 + ... + 137144.

It is an arithmetic number, because the mean of its divisors is an integer number (60508404).

Almost surely, 2^2245587600 is an apocalyptic number.

2245587600 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 2245587600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3630504240).

2245587600 is an abundant number, since it is smaller than the sum of its proper divisors (5015420880).

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

2245587600 is a wasteful number, since it uses less digits than its factorization.

2245587600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17617 (or 17606 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 39.

The square root of 2245587600 is about 47387.6312976287. The cubic root of 2245587600 is about 1309.5135617952.

The spelling of 2245587600 in words is "two billion, two hundred forty-five million, five hundred eighty-seven thousand, six hundred".