2694361428864 has 960 divisors, whose sum is σ = 10029010464000. Its totient is φ = 713663612928.

The previous prime is 2694361428779. The next prime is 2694361428887. The reversal of 2694361428864 is 4688241634962.

It is a happy number.

2694361428864 is a `hidden beast` number, since 2 + 6 + 9 + 4 + 3 + 614 + 2 + 8 + 8 + 6 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 453669607 + ... + 453675545.

It is an arithmetic number, because the mean of its divisors is an integer number (10446885900).

Almost surely, 2^{2694361428864} is an apocalyptic number.

2694361428864 is a gapful number since it is divisible by the number (24) 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 2694361428864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5014505232000).

2694361428864 is an abundant number, since it is smaller than the sum of its proper divisors (7334649035136).

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

2694361428864 is a wasteful number, since it uses less digits than its factorization.

2694361428864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6045 (or 6017 counting only the distinct ones).

The product of its digits is 95551488, while the sum is 63.

The spelling of 2694361428864 in words is "two trillion, six hundred ninety-four billion, three hundred sixty-one million, four hundred twenty-eight thousand, eight hundred sixty-four".