2295955549440 has 2880 divisors, whose sum is σ = 10530541486080. Its totient is φ = 465813504000.

The previous prime is 2295955549361. The next prime is 2295955549477. The reversal of 2295955549440 is 449455595922.

2295955549440 is a `hidden beast` number, since 2 + 2 + 9 + 5 + 95 + 55 + 494 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 17526378175 + ... + 17526378305.

It is an arithmetic number, because the mean of its divisors is an integer number (3656438016).

Almost surely, 2^{2295955549440} is an apocalyptic number.

2295955549440 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 2295955549440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5265270743040).

2295955549440 is an abundant number, since it is smaller than the sum of its proper divisors (8234585936640).

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

2295955549440 is a wasteful number, since it uses less digits than its factorization.

2295955549440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 116640000, while the sum is 63.

The spelling of 2295955549440 in words is "two trillion, two hundred ninety-five billion, nine hundred fifty-five million, five hundred forty-nine thousand, four hundred forty".