2068044100 has 144 divisors (see below), whose sum is σ = 4850689536. Its totient is φ = 763776000.

The previous prime is 2068044091. The next prime is 2068044157. The reversal of 2068044100 is 14408602.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6736147 + ... + 6736453.

It is an arithmetic number, because the mean of its divisors is an integer number (33685344).

Almost surely, 2^2068044100 is an apocalyptic number.

2068044100 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 2068044100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2425344768).

2068044100 is an abundant number, since it is smaller than the sum of its proper divisors (2782645436).

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

2068044100 is a wasteful number, since it uses less digits than its factorization.

2068044100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 2068044100 is about 45475.7528799689. The cubic root of 2068044100 is about 1274.0503706753.

The spelling of 2068044100 in words is "two billion, sixty-eight million, forty-four thousand, one hundred".