2034385920 has 792 divisors, whose sum is σ = 8846135064. Its totient is φ = 429391872.

The previous prime is 2034385883. The next prime is 2034385939. The reversal of 2034385920 is 295834302.

2034385920 is a `hidden beast` number, since 2 + 0 + 34 + 38 + 592 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 618218496 + 1416167424 = 24864^2 + 37632^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 38384614 + ... + 38384666.

Almost surely, 2^2034385920 is an apocalyptic number.

2034385920 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 2034385920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4423067532).

2034385920 is an abundant number, since it is smaller than the sum of its proper divisors (6811749144).

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

2034385920 is a wasteful number, since it uses less digits than its factorization.

2034385920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 2034385920 is about 45104.1674349500. The cubic root of 2034385920 is about 1267.1006503072.

The spelling of 2034385920 in words is "two billion, thirty-four million, three hundred eighty-five thousand, nine hundred twenty".