2395956540960 has 288 divisors, whose sum is σ = 8980727333760. Its totient is φ = 578976989184.

The previous prime is 2395956540947. The next prime is 2395956540961. The reversal of 2395956540960 is 690456595932.

2395956540960 is a `hidden beast` number, since 2 + 3 + 9 + 5 + 9 + 565 + 4 + 0 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (2395956540961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1274449 + ... + 2533008.

It is an arithmetic number, because the mean of its divisors is an integer number (31183081020).

Almost surely, 2^{2395956540960} is an apocalyptic number.

2395956540960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2395956540960 is an abundant number, since it is smaller than the sum of its proper divisors (6584770792800).

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

2395956540960 is a wasteful number, since it uses less digits than its factorization.

2395956540960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3807520 (or 3807509 counting only the distinct ones).

The product of its (nonzero) digits is 78732000, while the sum is 63.

The spelling of 2395956540960 in words is "two trillion, three hundred ninety-five billion, nine hundred fifty-six million, five hundred forty thousand, nine hundred sixty".