2130416640 has 440 divisors, whose sum is σ = 8346061152. Its totient is φ = 515358720.

The previous prime is 2130416581. The next prime is 2130416641. The reversal of 2130416640 is 466140312.

2130416640 is a `hidden beast` number, since 2 + 1 + 3 + 0 + 4 + 16 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (440).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2130416641) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4561687 + ... + 4562153.

Almost surely, 2^2130416640 is an apocalyptic number.

2130416640 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 2130416640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4173030576).

2130416640 is an abundant number, since it is smaller than the sum of its proper divisors (6215644512).

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

2130416640 is a wasteful number, since it uses less digits than its factorization.

2130416640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2130416640 is about 46156.4366042267. The cubic root of 2130416640 is about 1286.7322376432.

Adding to 2130416640 its reverse (466140312), we get a palindrome (2596556952).

The spelling of 2130416640 in words is "two billion, one hundred thirty million, four hundred sixteen thousand, six hundred forty".