2678010000 has 400 divisors, whose sum is σ = 9413236800. Its totient is φ = 653312000.

The previous prime is 2678009981. The next prime is 2678010053. The reversal of 2678010000 is 108762.

2678010000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 30089956 + ... + 30090044.

It is an arithmetic number, because the mean of its divisors is an integer number (23533092).

Almost surely, 2^2678010000 is an apocalyptic number.

2678010000 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 2678010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4706618400).

2678010000 is an abundant number, since it is smaller than the sum of its proper divisors (6735226800).

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

2678010000 is a wasteful number, since it uses less digits than its factorization.

2678010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 2678010000 is about 51749.4927511372. The cubic root of 2678010000 is about 1388.6860242965.

Adding to 2678010000 its reverse (108762), we get a palindrome (2678118762).

The spelling of 2678010000 in words is "two billion, six hundred seventy-eight million, ten thousand".