2478764678742 has 216 divisors, whose sum is σ = 6127959395376. Its totient is φ = 723515760000.

The previous prime is 2478764678723. The next prime is 2478764678773.

2478764678742 is a `hidden beast` number, since 2 + 4 + 7 + 87 + 6 + 467 + 87 + 4 + 2 = 666.

2478764678742 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2478764678742² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 301145767 + ... + 301153997.

It is an arithmetic number, because the mean of its divisors is an integer number (28370182386).

Almost surely, 2^{2478764678742} is an apocalyptic number.

2478764678742 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2478764678742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3063979697688).

2478764678742 is an abundant number, since it is smaller than the sum of its proper divisors (3649194716634).

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

2478764678742 is a wasteful number, since it uses less digits than its factorization.

2478764678742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8436 (or 8385 counting only the distinct ones).

The product of its digits is 1416167424, while the sum is 72.

The spelling of 2478764678742 in words is "two trillion, four hundred seventy-eight billion, seven hundred sixty-four million, six hundred seventy-eight thousand, seven hundred forty-two".