2245256640 has 504 divisors, whose sum is σ = 9011686320. Its totient is φ = 510935040.

The previous prime is 2245256633. The next prime is 2245256641. The reversal of 2245256640 is 466525422.

2245256640 is a `hidden beast` number, since 2 + 2 + 4 + 5 + 2 + 5 + 6 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2245256595 and 2245256604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2245256641) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5923971 + ... + 5924349.

It is an arithmetic number, because the mean of its divisors is an integer number (17880330).

Almost surely, 2^2245256640 is an apocalyptic number.

2245256640 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 2245256640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4505843160).

2245256640 is an abundant number, since it is smaller than the sum of its proper divisors (6766429680).

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

2245256640 is a wasteful number, since it uses less digits than its factorization.

2245256640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 2245256640 is about 47384.1391184856. The cubic root of 2245256640 is about 1309.4492255680.

The spelling of 2245256640 in words is "two billion, two hundred forty-five million, two hundred fifty-six thousand, six hundred forty".