2108013600 has 864 divisors, whose sum is σ = 9276156288. Its totient is φ = 405504000.

The previous prime is 2108013599. The next prime is 2108013601. The reversal of 2108013600 is 63108012.

2108013600 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2108013599) and next prime (2108013601).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2108013601) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 34557570 + ... + 34557630.

It is an arithmetic number, because the mean of its divisors is an integer number (10736292).

Almost surely, 2^2108013600 is an apocalyptic number.

2108013600 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 2108013600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4638078144).

2108013600 is an abundant number, since it is smaller than the sum of its proper divisors (7168142688).

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

2108013600 is a wasteful number, since it uses less digits than its factorization.

2108013600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 2108013600 is about 45913.1092390833. The cubic root of 2108013600 is about 1282.2059941102.

The spelling of 2108013600 in words is "two billion, one hundred eight million, thirteen thousand, six hundred".