2250201600 has 480 divisors, whose sum is σ = 8768010240. Its totient is φ = 563281920.

The previous prime is 2250201599. The next prime is 2250201601. The reversal of 2250201600 is 61020522.

2250201600 is a `hidden beast` number, since 2 + 2 + 502 + 0 + 160 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2250201599) and next prime (2250201601).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2250201601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5875009 + ... + 5875391.

It is an arithmetic number, because the mean of its divisors is an integer number (18266688).

Almost surely, 2^2250201600 is an apocalyptic number.

2250201600 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 2250201600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4384005120).

2250201600 is an abundant number, since it is smaller than the sum of its proper divisors (6517808640).

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

2250201600 is a wasteful number, since it uses less digits than its factorization.

2250201600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2250201600 is about 47436.2899055143. The cubic root of 2250201600 is about 1310.4098323405.

The spelling of 2250201600 in words is "two billion, two hundred fifty million, two hundred one thousand, six hundred".