2605461489792 has 1728 divisors, whose sum is σ = 10071868285440. Its totient is φ = 654647132160.

The previous prime is 2605461489667. The next prime is 2605461489793. The reversal of 2605461489792 is 2979841645062.

2605461489792 is a `hidden beast` number, since 2 + 6 + 0 + 5 + 4 + 61 + 489 + 7 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is not an unprimeable number, because it can be changed into a prime (2605461489793) by changing a digit.

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 215 ways as a sum of consecutive naturals, for example, 84047144817 + ... + 84047144847.

It is an arithmetic number, because the mean of its divisors is an integer number (5828627480).

Almost surely, 2^{2605461489792} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2605461489792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5035934142720).

2605461489792 is an abundant number, since it is smaller than the sum of its proper divisors (7466406795648).

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

2605461489792 is an frugal number, since it uses more digits than its factorization.

2605461489792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 2605461489792 in words is "two trillion, six hundred five billion, four hundred sixty-one million, four hundred eighty-nine thousand, seven hundred ninety-two".