2296478634624 has 384 divisors, whose sum is σ = 6748533792000. Its totient is φ = 749487513600.

The previous prime is 2296478634563. The next prime is 2296478634701. The reversal of 2296478634624 is 4264368746922.

2296478634624 is a `hidden beast` number, since 2 + 2 + 96 + 4 + 7 + 86 + 3 + 462 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×2296478634624³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7480386279 + ... + 7480386585.

It is an arithmetic number, because the mean of its divisors is an integer number (17574306750).

Almost surely, 2^{2296478634624} is an apocalyptic number.

2296478634624 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 2296478634624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3374266896000).

2296478634624 is an abundant number, since it is smaller than the sum of its proper divisors (4452055157376).

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

2296478634624 is a wasteful number, since it uses less digits than its factorization.

2296478634624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 936 (or 921 counting only the distinct ones).

The product of its digits is 167215104, while the sum is 63.

The spelling of 2296478634624 in words is "two trillion, two hundred ninety-six billion, four hundred seventy-eight million, six hundred thirty-four thousand, six hundred twenty-four".