2130547200 has 240 divisors, whose sum is σ = 7114874976. Its totient is φ = 561971200.

The previous prime is 2130547193. The next prime is 2130547217. The reversal of 2130547200 is 27450312.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 4338955 + ... + 4339445.

Almost surely, 2^2130547200 is an apocalyptic number.

2130547200 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 2130547200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3557437488).

2130547200 is an abundant number, since it is smaller than the sum of its proper divisors (4984327776).

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

2130547200 is a wasteful number, since it uses less digits than its factorization.

2130547200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 2130547200 is about 46157.8509031779. The cubic root of 2130547200 is about 1286.7585223811.

Adding to 2130547200 its reverse (27450312), we get a palindrome (2157997512).

The spelling of 2130547200 in words is "two billion, one hundred thirty million, five hundred forty-seven thousand, two hundred".