2628689110400 has 96 divisors (see below), whose sum is σ = 6875665096680. Its totient is φ = 989624115200.

The previous prime is 2628689110381. The next prime is 2628689110459. The reversal of 2628689110400 is 40119868262.

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24106346 + ... + 24215145.

Almost surely, 2^{2628689110400} is an apocalyptic number.

2628689110400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2628689110400 is an abundant number, since it is smaller than the sum of its proper divisors (4246975986280).

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

2628689110400 is a wasteful number, since it uses less digits than its factorization.

2628689110400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48321532 (or 48321515 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 47.

The spelling of 2628689110400 in words is "two trillion, six hundred twenty-eight billion, six hundred eighty-nine million, one hundred ten thousand, four hundred".