2459407964160 has 768 divisors, whose sum is σ = 9154953400320. Its totient is φ = 552075264000.

The previous prime is 2459407964159. The next prime is 2459407964177. The reversal of 2459407964160 is 614697049542.

It is a tau number, because it is divible by the number of its divisors (768).

It is a self number, because there is not a number n which added to its sum of digits gives 2459407964160.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3274843785 + ... + 3274844535.

It is an arithmetic number, because the mean of its divisors is an integer number (11920512240).

Almost surely, 2^{2459407964160} is an apocalyptic number.

2459407964160 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 2459407964160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4577476700160).

2459407964160 is an abundant number, since it is smaller than the sum of its proper divisors (6695545436160).

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

2459407964160 is a wasteful number, since it uses less digits than its factorization.

2459407964160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042 (or 1022 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 57.

The spelling of 2459407964160 in words is "two trillion, four hundred fifty-nine billion, four hundred seven million, nine hundred sixty-four thousand, one hundred sixty".