2134512000 has 512 divisors, whose sum is σ = 8089660800. Its totient is φ = 559872000.

The previous prime is 2134511989. The next prime is 2134512001. The reversal of 2134512000 is 2154312.

2134512000 is a `hidden beast` number, since 2 + 13 + 451 + 200 + 0 = 666.

It is a super-2 number, since 2×2134512000² = 9112282956288000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2134512001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34991970 + ... + 34992030.

Almost surely, 2^2134512000 is an apocalyptic number.

2134512000 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 2134512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4044830400).

2134512000 is an abundant number, since it is smaller than the sum of its proper divisors (5955148800).

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

2134512000 is an frugal number, since it uses more digits than its factorization.

2134512000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2134512000 is about 46200.7792142081. The cubic root of 2134512000 is about 1287.5562171073.

Adding to 2134512000 its reverse (2154312), we get a palindrome (2136666312).

The spelling of 2134512000 in words is "two billion, one hundred thirty-four million, five hundred twelve thousand".