2131414320 has 320 divisors, whose sum is σ = 7775502336. Its totient is φ = 472980480.

The previous prime is 2131414303. The next prime is 2131414367. The reversal of 2131414320 is 234141312.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12762877 + ... + 12763043.

Almost surely, 2^2131414320 is an apocalyptic number.

2131414320 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 2131414320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3887751168).

2131414320 is an abundant number, since it is smaller than the sum of its proper divisors (5644088016).

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

2131414320 is a wasteful number, since it uses less digits than its factorization.

2131414320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 2131414320 is about 46167.2429326249. The cubic root of 2131414320 is about 1286.9330663845.

Adding to 2131414320 its reverse (234141312), we get a palindrome (2365555632).

The spelling of 2131414320 in words is "two billion, one hundred thirty-one million, four hundred fourteen thousand, three hundred twenty".