2009034360 has 256 divisors, whose sum is σ = 7216128000. Its totient is φ = 495728640.

The previous prime is 2009034359. The next prime is 2009034361. The reversal of 2009034360 is 634309002.

It is an interprime number because it is at equal distance from previous prime (2009034359) and next prime (2009034361).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2009034361) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 768736 + ... + 771344.

It is an arithmetic number, because the mean of its divisors is an integer number (28188000).

Almost surely, 2^2009034360 is an apocalyptic number.

2009034360 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 2009034360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3608064000).

2009034360 is an abundant number, since it is smaller than the sum of its proper divisors (5207093640).

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

2009034360 is a wasteful number, since it uses less digits than its factorization.

2009034360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2683 (or 2673 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 2009034360 is about 44822.2529554238. The cubic root of 2009034360 is about 1261.8152972555.

The spelling of 2009034360 in words is "two billion, nine million, thirty-four thousand, three hundred sixty".