2100404500624 has 160 divisors (see below), whose sum is σ = 4434601167360. Its totient is φ = 960428851200.

The previous prime is 2100404500591. The next prime is 2100404500627. The reversal of 2100404500624 is 4260054040012.

It is a junction number, because it is equal to n+sod(n) for n = 2100404500592 and 2100404500601.

It is not an unprimeable number, because it can be changed into a prime (2100404500627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1283080734 + ... + 1283082370.

It is an arithmetic number, because the mean of its divisors is an integer number (27716257296).

Almost surely, 2^{2100404500624} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2100404500624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2217300583680).

2100404500624 is an abundant number, since it is smaller than the sum of its proper divisors (2334196666736).

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

2100404500624 is a wasteful number, since it uses less digits than its factorization.

2100404500624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2729 (or 2723 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

Adding to 2100404500624 its reverse (4260054040012), we get a palindrome (6360458540636).

The spelling of 2100404500624 in words is "two trillion, one hundred billion, four hundred four million, five hundred thousand, six hundred twenty-four".