2352980000 has 210 divisors, whose sum is σ = 6753456171. Its totient is φ = 806736000.

The previous prime is 2352979991. The next prime is 2352980029. The reversal of 2352980000 is 892532.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 544008976 + 1808971024 = 23324^2 + 42532^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=34300.

It is a zygodrome in base 7.

It is an unprimeable number.

It is a polite number, since it can be written in 34 ways as a sum of consecutive naturals, for example, 336139997 + ... + 336140003.

Almost surely, 2^2352980000 is an apocalyptic number.

2352980000 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 2352980000

2352980000 is an abundant number, since it is smaller than the sum of its proper divisors (4400476171).

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

2352980000 is an frugal number, since it uses more digits than its factorization.

2352980000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 2352980000 is about 48507.5251893972. The cubic root of 2352980000 is about 1330.0646321315.

The spelling of 2352980000 in words is "two billion, three hundred fifty-two million, nine hundred eighty thousand".