2075129100 has 216 divisors, whose sum is σ = 7141417920. Its totient is φ = 499824000.

The previous prime is 2075129093. The next prime is 2075129107. The reversal of 2075129100 is 19215702.

It is an interprime number because it is at equal distance from previous prime (2075129093) and next prime (2075129107).

It is not an unprimeable number, because it can be changed into a prime (2075129107) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1771515 + ... + 1772685.

It is an arithmetic number, because the mean of its divisors is an integer number (33062120).

Almost surely, 2^2075129100 is an apocalyptic number.

2075129100 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 2075129100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3570708960).

2075129100 is an abundant number, since it is smaller than the sum of its proper divisors (5066288820).

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

2075129100 is a wasteful number, since it uses less digits than its factorization.

2075129100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1381 (or 1371 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 2075129100 is about 45553.5849302774. The cubic root of 2075129100 is about 1275.5036533840.

It can be divided in two parts, 207512 and 9100, that added together give a palindrome (216612).

The spelling of 2075129100 in words is "two billion, seventy-five million, one hundred twenty-nine thousand, one hundred".