2100405120 has 192 divisors, whose sum is σ = 7359826320. Its totient is φ = 509132800.

The previous prime is 2100405119. The next prime is 2100405143. The reversal of 2100405120 is 215040012.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2100405120.

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, 227800 + ... + 236840.

Almost surely, 2^2100405120 is an apocalyptic number.

2100405120 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 2100405120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3679913160).

2100405120 is an abundant number, since it is smaller than the sum of its proper divisors (5259421200).

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

2100405120 is a wasteful number, since it uses less digits than its factorization.

2100405120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9085 (or 9062 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 2100405120 is about 45830.1769579826. The cubic root of 2100405120 is about 1280.6615070310.

Adding to 2100405120 its reverse (215040012), we get a palindrome (2315445132).

The spelling of 2100405120 in words is "two billion, one hundred million, four hundred five thousand, one hundred twenty".