2985432320 has 216 divisors, whose sum is σ = 7974040536. Its totient is φ = 1069645824.

The previous prime is 2985432301. The next prime is 2985432367. The reversal of 2985432320 is 232345892.

It can be written as a sum of positive squares in 12 ways, for example, as 965469184 + 2019963136 = 31072^2 + 44944^2 .

It is a super-2 number, since 2×2985432320² = 17825612274601164800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8003654 + ... + 8004026.

Almost surely, 2^2985432320 is an apocalyptic number.

2985432320 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 2985432320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3987020268).

2985432320 is an abundant number, since it is smaller than the sum of its proper divisors (4988608216).

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

2985432320 is a wasteful number, since it uses less digits than its factorization.

2985432320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 38.

The square root of 2985432320 is about 54639.1098024117. The cubic root of 2985432320 is about 1439.9113114103.

The spelling of 2985432320 in words is "two billion, nine hundred eighty-five million, four hundred thirty-two thousand, three hundred twenty".