2694396960 has 480 divisors, whose sum is σ = 10076996160. Its totient is φ = 676988928.

The previous prime is 2694396937. The next prime is 2694396967. The reversal of 2694396960 is 696934962.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2694396897 and 2694396906.

It is not an unprimeable number, because it can be changed into a prime (2694396967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 25181227 + ... + 25181333.

It is an arithmetic number, because the mean of its divisors is an integer number (20993742).

Almost surely, 2^2694396960 is an apocalyptic number.

2694396960 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 2694396960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5038498080).

2694396960 is an abundant number, since it is smaller than the sum of its proper divisors (7382599200).

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

2694396960 is a wasteful number, since it uses less digits than its factorization.

2694396960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 3779136, while the sum is 54.

The square root of 2694396960 is about 51907.5809492217. The cubic root of 2694396960 is about 1391.5127605067.

The spelling of 2694396960 in words is "two billion, six hundred ninety-four million, three hundred ninety-six thousand, nine hundred sixty".