2459678338656 has 384 divisors, whose sum is σ = 8959362048000. Its totient is φ = 637800583680.

The previous prime is 2459678338589. The next prime is 2459678338753. The reversal of 2459678338656 is 6568338769542.

2459678338656 is a `hidden beast` number, since 2 + 45 + 96 + 78 + 3 + 386 + 56 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 39819411 + ... + 39881133.

It is an arithmetic number, because the mean of its divisors is an integer number (23331672000).

Almost surely, 2^{2459678338656} 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 2459678338656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4479681024000).

2459678338656 is an abundant number, since it is smaller than the sum of its proper divisors (6499683709344).

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

2459678338656 is a wasteful number, since it uses less digits than its factorization.

2459678338656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62359 (or 62345 counting only the distinct ones).

The product of its digits is 1567641600, while the sum is 72.

The spelling of 2459678338656 in words is "two trillion, four hundred fifty-nine billion, six hundred seventy-eight million, three hundred thirty-eight thousand, six hundred fifty-six".