2078680526496 has 384 divisors, whose sum is σ = 7345203586560. Its totient is φ = 558311325696.

The previous prime is 2078680526467. The next prime is 2078680526497. The reversal of 2078680526496 is 6946250868702.

2078680526496 is a `hidden beast` number, since 2 + 0 + 7 + 8 + 68 + 0 + 526 + 49 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (2078680526497) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 90158106 + ... + 90181158.

It is an arithmetic number, because the mean of its divisors is an integer number (19128134340).

Almost surely, 2^{2078680526496} 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 2078680526496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3672601793280).

2078680526496 is an abundant number, since it is smaller than the sum of its proper divisors (5266523060064).

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

2078680526496 is a wasteful number, since it uses less digits than its factorization.

2078680526496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23973 (or 23959 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 2078680526496 in words is "two trillion, seventy-eight billion, six hundred eighty million, five hundred twenty-six thousand, four hundred ninety-six".