2678414376960 has 1680 divisors, whose sum is σ = 11839205923776. Its totient is φ = 565325070336.

The previous prime is 2678414376947. The next prime is 2678414376971. The reversal of 2678414376960 is 696734148762.

It is a happy number.

2678414376960 is a `hidden beast` number, since 2 + 6 + 7 + 84 + 1 + 437 + 69 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 50536120294 + ... + 50536120346.

Almost surely, 2^{2678414376960} is an apocalyptic number.

2678414376960 is a gapful number since it is divisible by the number (20) 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 2678414376960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5919602961888).

2678414376960 is an abundant number, since it is smaller than the sum of its proper divisors (9160791546816).

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

2678414376960 is an frugal number, since it uses more digits than its factorization.

2678414376960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 63.

The spelling of 2678414376960 in words is "two trillion, six hundred seventy-eight billion, four hundred fourteen million, three hundred seventy-six thousand, nine hundred sixty".