2678333040 has 400 divisors, whose sum is σ = 9794611200. Its totient is φ = 677445120.

The previous prime is 2678333027. The next prime is 2678333041. The reversal of 2678333040 is 403338762.

2678333040 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2678332986 and 2678333004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2678333041) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13458861 + ... + 13459059.

It is an arithmetic number, because the mean of its divisors is an integer number (24486528).

Almost surely, 2^2678333040 is an apocalyptic number.

2678333040 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 2678333040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4897305600).

2678333040 is an abundant number, since it is smaller than the sum of its proper divisors (7116278160).

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

2678333040 is a wasteful number, since it uses less digits than its factorization.

2678333040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 2678333040 is about 51752.6138470319. The cubic root of 2678333040 is about 1388.7418596738.

The spelling of 2678333040 in words is "two billion, six hundred seventy-eight million, three hundred thirty-three thousand, forty".