2678756340 has 192 divisors, whose sum is σ = 8387043840. Its totient is φ = 634521600.

The previous prime is 2678756323. The next prime is 2678756347. The reversal of 2678756340 is 436578762.

It is a self number, because there is not a number n which added to its sum of digits gives 2678756340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2678756347) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 2914401 + ... + 2915319.

It is an arithmetic number, because the mean of its divisors is an integer number (43682520).

Almost surely, 2^2678756340 is an apocalyptic number.

2678756340 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 2678756340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4193521920).

2678756340 is an abundant number, since it is smaller than the sum of its proper divisors (5708287500).

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

2678756340 is a wasteful number, since it uses less digits than its factorization.

2678756340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 48.

The square root of 2678756340 is about 51756.7033339644. The cubic root of 2678756340 is about 1388.8150175490.

The spelling of 2678756340 in words is "two billion, six hundred seventy-eight million, seven hundred fifty-six thousand, three hundred forty".