2678003968100 has 36 divisors (see below), whose sum is σ = 5811495582144. Its totient is φ = 1071159749280.

The previous prime is 2678003968097. The next prime is 2678003968109. The reversal of 2678003968100 is 18693008762.

2678003968100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×2678003968100⁴ (a number of 51 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is not an unprimeable number, because it can be changed into a prime (2678003968109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2116457 + ... + 3136143.

Almost surely, 2^{2678003968100} is an apocalyptic number.

2678003968100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2678003968100 is an abundant number, since it is smaller than the sum of its proper divisors (3133491614044).

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

2678003968100 is a wasteful number, since it uses less digits than its factorization.

2678003968100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1045964 (or 1045957 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 50.

The spelling of 2678003968100 in words is "two trillion, six hundred seventy-eight billion, three million, nine hundred sixty-eight thousand, one hundred".