2478426564096 has 1440 divisors, whose sum is σ = 9255201795840. Its totient is φ = 648125743104.

The previous prime is 2478426564017. The next prime is 2478426564127. The reversal of 2478426564096 is 6904656248742.

It is a happy number.

2478426564096 is a `hidden beast` number, since 2 + 4 + 78 + 426 + 56 + 4 + 0 + 96 = 666.

It is a super-2 number, since 2×2478426564096² (a number of 26 digits) contains 22 as substring.

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10822823310 + ... + 10822823538.

Almost surely, 2^{2478426564096} 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 2478426564096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4627600897920).

2478426564096 is an abundant number, since it is smaller than the sum of its proper divisors (6776775231744).

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

2478426564096 is an equidigital number, since it uses as much as digits as its factorization.

2478426564096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 63.

The spelling of 2478426564096 in words is "two trillion, four hundred seventy-eight billion, four hundred twenty-six million, five hundred sixty-four thousand, ninety-six".