2472777842688 has 256 divisors, whose sum is σ = 7579358676000. Its totient is φ = 795828289536.

The previous prime is 2472777842687. The next prime is 2472777842761. The reversal of 2472777842688 is 8862487772742.

2472777842688 is a `hidden beast` number, since 2 + 472 + 7 + 7 + 78 + 4 + 2 + 6 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (256).

It is a super-2 number, since 2×2472777842688² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2472777842687) 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 15 ways as a sum of consecutive naturals, for example, 25609156 + ... + 25705532.

Almost surely, 2^{2472777842688} 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 2472777842688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3789679338000).

2472777842688 is an abundant number, since it is smaller than the sum of its proper divisors (5106580833312).

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

2472777842688 is an frugal number, since it uses more digits than its factorization.

2472777842688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96445 (or 96411 counting only the distinct ones).

The product of its digits is 944111616, while the sum is 72.

The spelling of 2472777842688 in words is "two trillion, four hundred seventy-two billion, seven hundred seventy-seven million, eight hundred forty-two thousand, six hundred eighty-eight".