2601676578816 has 1400 divisors, whose sum is σ = 9594793859904. Its totient is φ = 701002874880.

The previous prime is 2601676578791. The next prime is 2601676578817. The reversal of 2601676578816 is 6188756761062.

2601676578816 is a `hidden beast` number, since 2 + 601 + 6 + 7 + 6 + 5 + 7 + 8 + 8 + 16 = 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 (2601676578817) by changing a digit.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 36643332061 + ... + 36643332131.

Almost surely, 2^{2601676578816} 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 2601676578816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4797396929952).

2601676578816 is an abundant number, since it is smaller than the sum of its proper divisors (6993117281088).

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

2601676578816 is an frugal number, since it uses more digits than its factorization.

2601676578816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 2601676578816 in words is "two trillion, six hundred one billion, six hundred seventy-six million, five hundred seventy-eight thousand, eight hundred sixteen".