2134729080 has 320 divisors, whose sum is σ = 7927048800. Its totient is φ = 510935040.

The previous prime is 2134729033. The next prime is 2134729127. The reversal of 2134729080 is 809274312.

2134729080 is a `hidden beast` number, since 21 + 3 + 472 + 90 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (2134729033) and next prime (2134729127).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3171624 + ... + 3172296.

Almost surely, 2^2134729080 is an apocalyptic number.

2134729080 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 2134729080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3963524400).

2134729080 is an abundant number, since it is smaller than the sum of its proper divisors (5792319720).

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

2134729080 is a wasteful number, since it uses less digits than its factorization.

2134729080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2134729080 is about 46203.1284655055. The cubic root of 2134729080 is about 1287.5998638095.

The spelling of 2134729080 in words is "two billion, one hundred thirty-four million, seven hundred twenty-nine thousand, eighty".