2131012440 has 192 divisors, whose sum is σ = 7058469600. Its totient is φ = 557500416.

The previous prime is 2131012427. The next prime is 2131012451. The reversal of 2131012440 is 442101312.

2131012440 is a `hidden beast` number, since 213 + 1 + 0 + 12 + 440 = 666.

2131012440 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7272934 + ... + 7273226.

Almost surely, 2^2131012440 is an apocalyptic number.

2131012440 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 2131012440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3529234800).

2131012440 is an abundant number, since it is smaller than the sum of its proper divisors (4927457160).

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

2131012440 is a wasteful number, since it uses less digits than its factorization.

2131012440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2131012440 is about 46162.8902907953. The cubic root of 2131012440 is about 1286.8521771888.

Adding to 2131012440 its reverse (442101312), we get a palindrome (2573113752).

The spelling of 2131012440 in words is "two billion, one hundred thirty-one million, twelve thousand, four hundred forty".