2479322456064 has 448 divisors, whose sum is σ = 7620585216000. Its totient is φ = 795784642560.

The previous prime is 2479322456063. The next prime is 2479322456129. The reversal of 2479322456064 is 4606542239742.

2479322456064 is a `hidden beast` number, since 2 + 4 + 7 + 9 + 3 + 2 + 24 + 5 + 606 + 4 = 666.

It is a super-2 number, since 2×2479322456064² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 2479322456064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2479322456063) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1570184427 + ... + 1570186005.

Almost surely, 2^{2479322456064} is an apocalyptic number.

2479322456064 is a gapful number since it is divisible by the number (24) 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 2479322456064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3810292608000).

2479322456064 is an abundant number, since it is smaller than the sum of its proper divisors (5141262759936).

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

2479322456064 is a wasteful number, since it uses less digits than its factorization.

2479322456064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1874 (or 1844 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 54.

The spelling of 2479322456064 in words is "two trillion, four hundred seventy-nine billion, three hundred twenty-two million, four hundred fifty-six thousand, sixty-four".