2245757760 has 252 divisors, whose sum is σ = 7914676068. Its totient is φ = 584466432.

The previous prime is 2245757753. The next prime is 2245757771. The reversal of 2245757760 is 677575422.

2245757760 is a `hidden beast` number, since 2 + 2 + 4 + 575 + 7 + 76 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 860131584 + 1385626176 = 29328^2 + 37224^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6361744 + ... + 6362096.

Almost surely, 2^2245757760 is an apocalyptic number.

2245757760 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 2245757760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3957338034).

2245757760 is an abundant number, since it is smaller than the sum of its proper divisors (5668918308).

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

2245757760 is a wasteful number, since it uses less digits than its factorization.

2245757760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 823200, while the sum is 45.

The square root of 2245757760 is about 47389.4266688256. The cubic root of 2245757760 is about 1309.5466372064.

The spelling of 2245757760 in words is "two billion, two hundred forty-five million, seven hundred fifty-seven thousand, seven hundred sixty".