2628101470100 has 72 divisors (see below), whose sum is σ = 5753256768000. Its totient is φ = 1042002524800.

The previous prime is 2628101470079. The next prime is 2628101470157. The reversal of 2628101470100 is 10741018262.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6952985 + ... + 7321215.

It is an arithmetic number, because the mean of its divisors is an integer number (79906344000).

Almost surely, 2^{2628101470100} is an apocalyptic number.

2628101470100 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 2628101470100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2876628384000).

2628101470100 is an abundant number, since it is smaller than the sum of its proper divisors (3125155297900).

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

2628101470100 is a wasteful number, since it uses less digits than its factorization.

2628101470100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368873 (or 368866 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 32.

Adding to 2628101470100 its reverse (10741018262), we get a palindrome (2638842488362).

The spelling of 2628101470100 in words is "two trillion, six hundred twenty-eight billion, one hundred one million, four hundred seventy thousand, one hundred".