2070345000 has 320 divisors, whose sum is σ = 7166206080. Its totient is φ = 495616000.

The previous prime is 2070344993. The next prime is 2070345001. The reversal of 2070345000 is 5430702.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2070345001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5864824 + ... + 5865176.

It is an arithmetic number, because the mean of its divisors is an integer number (22394394).

Almost surely, 2^2070345000 is an apocalyptic number.

2070345000 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 2070345000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3583103040).

2070345000 is an abundant number, since it is smaller than the sum of its proper divisors (5095861080).

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

2070345000 is a wasteful number, since it uses less digits than its factorization.

2070345000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 21.

The square root of 2070345000 is about 45501.0439440679. The cubic root of 2070345000 is about 1274.5226971585.

Adding to 2070345000 its reverse (5430702), we get a palindrome (2075775702).

It can be divided in two parts, 20703 and 45000, that added together give a triangular number (65703 = T₃₆₂).

The spelling of 2070345000 in words is "two billion, seventy million, three hundred forty-five thousand".