2602678287456 has 192 divisors, whose sum is σ = 8177166648000. Its totient is φ = 800619614208.

The previous prime is 2602678287439. The next prime is 2602678287493. The reversal of 2602678287456 is 6547828762062.

2602678287456 is a `hidden beast` number, since 2 + 6 + 0 + 26 + 7 + 82 + 87 + 456 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2602678287393 and 2602678287402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47337870 + ... + 47392818.

It is an arithmetic number, because the mean of its divisors is an integer number (42589409625).

Almost surely, 2^{2602678287456} is an apocalyptic number.

2602678287456 is a gapful number since it is divisible by the number (26) 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 2602678287456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4088583324000).

2602678287456 is an abundant number, since it is smaller than the sum of its proper divisors (5574488360544).

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

2602678287456 is a wasteful number, since it uses less digits than its factorization.

2602678287456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59198 (or 59184 counting only the distinct ones).

The product of its (nonzero) digits is 108380160, while the sum is 63.

The spelling of 2602678287456 in words is "two trillion, six hundred two billion, six hundred seventy-eight million, two hundred eighty-seven thousand, four hundred fifty-six".