2245140000 has 180 divisors, whose sum is σ = 7978856886. Its totient is φ = 598656000.

The previous prime is 2245139989. The next prime is 2245140013. The reversal of 2245140000 is 415422.

It can be written as a sum of positive squares in 5 ways, for example, as 98485776 + 2146654224 = 9924^2 + 46332^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 173764 + ... + 186236.

Almost surely, 2^2245140000 is an apocalyptic number.

2245140000 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 2245140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3989428443).

2245140000 is an abundant number, since it is smaller than the sum of its proper divisors (5733716886).

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

2245140000 is a wasteful number, since it uses less digits than its factorization.

2245140000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12509 (or 12483 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 2245140000 is about 47382.9083109089. The cubic root of 2245140000 is about 1309.4265500900.

Adding to 2245140000 its reverse (415422), we get a palindrome (2245555422).

The spelling of 2245140000 in words is "two billion, two hundred forty-five million, one hundred forty thousand".