2134409200 has 360 divisors, whose sum is σ = 6734318976. Its totient is φ = 631488000.

The previous prime is 2134409197. The next prime is 2134409203. The reversal of 2134409200 is 29044312.

It is an interprime number because it is at equal distance from previous prime (2134409197) and next prime (2134409203).

It is a Harshad number since it is a multiple of its sum of digits (25).

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 (2134409203) 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, 16293135 + ... + 16293265.

Almost surely, 2^2134409200 is an apocalyptic number.

2134409200 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 2134409200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3367159488).

2134409200 is an abundant number, since it is smaller than the sum of its proper divisors (4599909776).

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

2134409200 is a wasteful number, since it uses less digits than its factorization.

2134409200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 2134409200 is about 46199.6666654642. Note that the first 5 decimals coincide. The cubic root of 2134409200 is about 1287.5355468239.

The spelling of 2134409200 in words is "two billion, one hundred thirty-four million, four hundred nine thousand, two hundred".