2134329912 has 320 divisors, whose sum is σ = 7259535360. Its totient is φ = 576979200.

The previous prime is 2134329893. The next prime is 2134329931. The reversal of 2134329912 is 2199234312.

2134329912 is a `hidden beast` number, since 21 + 343 + 299 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (2134329893) and next prime (2134329931).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2872213 + ... + 2872955.

It is an arithmetic number, because the mean of its divisors is an integer number (22686048).

Almost surely, 2^2134329912 is an apocalyptic number.

2134329912 is a gapful number since it is divisible by the number (22) 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 2134329912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3629767680).

2134329912 is an abundant number, since it is smaller than the sum of its proper divisors (5125205448).

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

2134329912 is a wasteful number, since it uses less digits than its factorization.

2134329912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816 (or 803 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 2134329912 is about 46198.8085560656. The cubic root of 2134329912 is about 1287.5196037107.

It can be divided in two parts, 21343299 and 12, that added together give a triangular number (21343311 = T₆₅₃₃).

The spelling of 2134329912 in words is "two billion, one hundred thirty-four million, three hundred twenty-nine thousand, nine hundred twelve".