2740686624 has 288 divisors, whose sum is σ = 9070911360. Its totient is φ = 798792192.

The previous prime is 2740686623. The next prime is 2740686649. The reversal of 2740686624 is 4266860472.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×2740686624² = 15022726341945034752, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2740686624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2740686623) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26608557 + ... + 26608659.

It is an arithmetic number, because the mean of its divisors is an integer number (31496220).

Almost surely, 2^2740686624 is an apocalyptic number.

2740686624 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 2740686624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4535455680).

2740686624 is an abundant number, since it is smaller than the sum of its proper divisors (6330224736).

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

2740686624 is a wasteful number, since it uses less digits than its factorization.

2740686624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The square root of 2740686624 is about 52351.5675410011. The cubic root of 2740686624 is about 1399.4362737198.

The spelling of 2740686624 in words is "two billion, seven hundred forty million, six hundred eighty-six thousand, six hundred twenty-four".