2694427680 has 288 divisors, whose sum is σ = 9973212480. Its totient is φ = 609638400.

The previous prime is 2694427679. The next prime is 2694427691. The reversal of 2694427680 is 867244962.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2563155 + ... + 2564205.

It is an arithmetic number, because the mean of its divisors is an integer number (34629210).

Almost surely, 2^2694427680 is an apocalyptic number.

2694427680 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 2694427680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4986606240).

2694427680 is an abundant number, since it is smaller than the sum of its proper divisors (7278784800).

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

2694427680 is a wasteful number, since it uses less digits than its factorization.

2694427680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1192 (or 1177 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The square root of 2694427680 is about 51907.8768589123. The cubic root of 2694427680 is about 1391.5180489021.

The spelling of 2694427680 in words is "two billion, six hundred ninety-four million, four hundred twenty-seven thousand, six hundred eighty".