2134935360 has 112 divisors (see below), whose sum is σ = 7531608000. Its totient is φ = 569313792.

The previous prime is 2134935343. The next prime is 2134935377. The reversal of 2134935360 is 635394312.

It is a happy number.

2134935360 is a `hidden beast` number, since 2 + 1 + 34 + 93 + 536 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2134935343) and next prime (2134935377).

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 (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114910 + ... + 132189.

It is an arithmetic number, because the mean of its divisors is an integer number (67246500).

Almost surely, 2^2134935360 is an apocalyptic number.

2134935360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2134935360 is an abundant number, since it is smaller than the sum of its proper divisors (5396672640).

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

2134935360 is a wasteful number, since it uses less digits than its factorization.

2134935360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247125 (or 247109 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 2134935360 is about 46205.3607279502. The cubic root of 2134935360 is about 1287.6413362923.

The spelling of 2134935360 in words is "two billion, one hundred thirty-four million, nine hundred thirty-five thousand, three hundred sixty".