2160030400 has 336 divisors, whose sum is σ = 6204460032. Its totient is φ = 732672000.

The previous prime is 2160030377. The next prime is 2160030401. The reversal of 2160030400 is 40300612.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (2160030401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20187147 + ... + 20187253.

Almost surely, 2^2160030400 is an apocalyptic number.

2160030400 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 2160030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3102230016).

2160030400 is an abundant number, since it is smaller than the sum of its proper divisors (4044429632).

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

2160030400 is a wasteful number, since it uses less digits than its factorization.

2160030400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2160030400 is about 46476.1272052653. The cubic root of 2160030400 is about 1292.6668783254. Note that the first 3 decimals are identical.

The spelling of 2160030400 in words is "two billion, one hundred sixty million, thirty thousand, four hundred".