2075364300 has 144 divisors (see below), whose sum is σ = 6393340800. Its totient is φ = 518284800.

The previous prime is 2075364271. The next prime is 2075364349. The reversal of 2075364300 is 34635702.

2075364300 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 505255 + ... + 509345.

It is an arithmetic number, because the mean of its divisors is an integer number (44398200).

Almost surely, 2^2075364300 is an apocalyptic number.

2075364300 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 2075364300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3196670400).

2075364300 is an abundant number, since it is smaller than the sum of its proper divisors (4317976500).

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

2075364300 is a wasteful number, since it uses less digits than its factorization.

2075364300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4216 (or 4209 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 30.

The square root of 2075364300 is about 45556.1664322186. The cubic root of 2075364300 is about 1275.5518410888.

The spelling of 2075364300 in words is "two billion, seventy-five million, three hundred sixty-four thousand, three hundred".