2134771200 has 600 divisors, whose sum is σ = 8288509680. Its totient is φ = 541900800.

The previous prime is 2134771181. The next prime is 2134771207. The reversal of 2134771200 is 21774312.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2134771207) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 30067165 + ... + 30067235.

Almost surely, 2^2134771200 is an apocalyptic number.

2134771200 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 2134771200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4144254840).

2134771200 is an abundant number, since it is smaller than the sum of its proper divisors (6153738480).

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

2134771200 is an equidigital number, since it uses as much as digits as its factorization.

2134771200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 2134771200 is about 46203.5842765472. The cubic root of 2134771200 is about 1287.6083322299.

The spelling of 2134771200 in words is "two billion, one hundred thirty-four million, seven hundred seventy-one thousand, two hundred".