2034617130 has 224 divisors, whose sum is σ = 6760301184. Its totient is φ = 429141888.

The previous prime is 2034617129. The next prime is 2034617153. The reversal of 2034617130 is 317164302.

2034617130 is a `hidden beast` number, since 2 + 0 + 34 + 617 + 13 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2034617094 and 2034617103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 661857 + ... + 664923.

It is an arithmetic number, because the mean of its divisors is an integer number (30179916).

Almost surely, 2^2034617130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2034617130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3380150592).

2034617130 is an abundant number, since it is smaller than the sum of its proper divisors (4725684054).

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

2034617130 is a wasteful number, since it uses less digits than its factorization.

2034617130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3112 (or 3097 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 2034617130 is about 45106.7304290612. The cubic root of 2034617130 is about 1267.1486509087.

The spelling of 2034617130 in words is "two billion, thirty-four million, six hundred seventeen thousand, one hundred thirty".