2245395240 has 384 divisors, whose sum is σ = 8430739200. Its totient is φ = 512962560.

The previous prime is 2245395233. The next prime is 2245395277. The reversal of 2245395240 is 425935422.

2245395240 is a `hidden beast` number, since 2 + 24 + 5 + 395 + 240 = 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 = 2245395195 and 2245395204.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8105982 + ... + 8106258.

It is an arithmetic number, because the mean of its divisors is an integer number (21955050).

Almost surely, 2^2245395240 is an apocalyptic number.

2245395240 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 2245395240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4215369600).

2245395240 is an abundant number, since it is smaller than the sum of its proper divisors (6185343960).

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

2245395240 is a wasteful number, since it uses less digits than its factorization.

2245395240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 2245395240 is about 47385.6016106159. The cubic root of 2245395240 is about 1309.4761691737.

The spelling of 2245395240 in words is "two billion, two hundred forty-five million, three hundred ninety-five thousand, two hundred forty".