2602468042776 has 192 divisors, whose sum is σ = 8385375398400. Its totient is φ = 740734046208.

The previous prime is 2602468042729. The next prime is 2602468042813. The reversal of 2602468042776 is 6772408642062.

2602468042776 is a `hidden beast` number, since 2 + 602 + 4 + 6 + 8 + 0 + 4 + 27 + 7 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3215320 + ... + 3942488.

It is an arithmetic number, because the mean of its divisors is an integer number (43673830200).

Almost surely, 2^{2602468042776} 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 2602468042776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4192687699200).

2602468042776 is an abundant number, since it is smaller than the sum of its proper divisors (5782907355624).

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

2602468042776 is a wasteful number, since it uses less digits than its factorization.

2602468042776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727460 (or 727444 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 54.

The spelling of 2602468042776 in words is "two trillion, six hundred two billion, four hundred sixty-eight million, forty-two thousand, seven hundred seventy-six".