2034100200 has 192 divisors, whose sum is σ = 7047673920. Its totient is φ = 481024000.

The previous prime is 2034100193. The next prime is 2034100207. The reversal of 2034100200 is 20014302.

It is a Cunningham number, because it is equal to 45101²-1.

It is an interprime number because it is at equal distance from previous prime (2034100193) and next prime (2034100207).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (2034100207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 266842 + ... + 274358.

It is an arithmetic number, because the mean of its divisors is an integer number (36706635).

Almost surely, 2^2034100200 is an apocalyptic number.

2034100200 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 2034100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3523836960).

2034100200 is an abundant number, since it is smaller than the sum of its proper divisors (5013573720).

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

2034100200 is a wasteful number, since it uses less digits than its factorization.

2034100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7588 (or 7579 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2034100200 is about 45100.9999889138. Note that the first 4 decimals coincide. The cubic root of 2034100200 is about 1267.0413280740.

Adding to 2034100200 its reverse (20014302), we get a palindrome (2054114502).

The spelling of 2034100200 in words is "two billion, thirty-four million, one hundred thousand, two hundred".