2134750200 has 192 divisors, whose sum is σ = 7263285120. Its totient is φ = 514368000.

The previous prime is 2134750159. The next prime is 2134750207. The reversal of 2134750200 is 20574312.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2134750207) 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, 1193707 + ... + 1195493.

It is an arithmetic number, because the mean of its divisors is an integer number (37829610).

Almost surely, 2^2134750200 is an apocalyptic number.

2134750200 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 2134750200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3631642560).

2134750200 is an abundant number, since it is smaller than the sum of its proper divisors (5128534920).

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

2134750200 is a wasteful number, since it uses less digits than its factorization.

2134750200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1998 (or 1989 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 2134750200 is about 46203.3570208919. The cubic root of 2134750200 is about 1287.6041100969.

The spelling of 2134750200 in words is "two billion, one hundred thirty-four million, seven hundred fifty thousand, two hundred".