2245142016 has 360 divisors, whose sum is σ = 7435941480. Its totient is φ = 668528640.

The previous prime is 2245141993. The next prime is 2245142017. The reversal of 2245142016 is 6102415422.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

2245142016 is a `hidden beast` number, since 2 + 2 + 451 + 4 + 201 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2245142017) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 72423921 + ... + 72423951.

It is an arithmetic number, because the mean of its divisors is an integer number (20655393).

Almost surely, 2^2245142016 is an apocalyptic number.

2245142016 is a gapful number since it is divisible by the number (26) 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 2245142016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3717970740).

2245142016 is an abundant number, since it is smaller than the sum of its proper divisors (5190799464).

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

2245142016 is an equidigital number, since it uses as much as digits as its factorization.

2245142016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2245142016 is about 47382.9295843978. The cubic root of 2245142016 is about 1309.4269420185.

Adding to 2245142016 its reverse (6102415422), we get a palindrome (8347557438).

The spelling of 2245142016 in words is "two billion, two hundred forty-five million, one hundred forty-two thousand, sixteen".