295945482240 has 312 divisors, whose sum is σ = 1070435265120. Its totient is φ = 75486461952.

The previous prime is 295945482221. The next prime is 295945482269. The reversal of 295945482240 is 42284549592.

295945482240 is a `hidden beast` number, since 2 + 9 + 5 + 94 + 548 + 2 + 2 + 4 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4204456 + ... + 4274264.

It is an arithmetic number, because the mean of its divisors is an integer number (3430882260).

Almost surely, 2^295945482240 is an apocalyptic number.

295945482240 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 295945482240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535217632560).

295945482240 is an abundant number, since it is smaller than the sum of its proper divisors (774489782880).

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

295945482240 is a wasteful number, since it uses less digits than its factorization.

295945482240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69867 (or 69842 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 295945482240 in words is "two hundred ninety-five billion, nine hundred forty-five million, four hundred eighty-two thousand, two hundred forty".