2245544640 has 224 divisors, whose sum is σ = 8339328000. Its totient is φ = 567254016.

The previous prime is 2245544633. The next prime is 2245544657. The reversal of 2245544640 is 464455422.

2245544640 is a `hidden beast` number, since 2 + 2 + 4 + 5 + 5 + 4 + 4 + 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 = 2245544595 and 2245544604.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157321 + ... + 170999.

Almost surely, 2^2245544640 is an apocalyptic number.

2245544640 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 2245544640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4169664000).

2245544640 is an abundant number, since it is smaller than the sum of its proper divisors (6093783360).

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

2245544640 is a wasteful number, since it uses less digits than its factorization.

2245544640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13724 (or 13708 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

The square root of 2245544640 is about 47387.1780126228. The cubic root of 2245544640 is about 1309.5052110393.

The spelling of 2245544640 in words is "two billion, two hundred forty-five million, five hundred forty-four thousand, six hundred forty".