2134735680 has 224 divisors, whose sum is σ = 8450519040. Its totient is φ = 443566080.

The previous prime is 2134735663. The next prime is 2134735693. The reversal of 2134735680 is 865374312.

It is a tau number, because it is divible by the number of its divisors (224).

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 31 ways as a sum of consecutive naturals, for example, 59481 + ... + 88359.

Almost surely, 2^2134735680 is an apocalyptic number.

2134735680 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 2134735680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4225259520).

2134735680 is an abundant number, since it is smaller than the sum of its proper divisors (6315783360).

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

2134735680 is a wasteful number, since it uses less digits than its factorization.

2134735680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28917 (or 28907 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 2134735680 is about 46203.1998891852. The cubic root of 2134735680 is about 1287.6011907774.

The spelling of 2134735680 in words is "two billion, one hundred thirty-four million, seven hundred thirty-five thousand, six hundred eighty".