2130285440 has 64 divisors (see below), whose sum is σ = 5104080000. Its totient is φ = 850212864.

The previous prime is 2130285407. The next prime is 2130285463. The reversal of 2130285440 is 445820312.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 303086 + ... + 310034.

It is an arithmetic number, because the mean of its divisors is an integer number (79751250).

Almost surely, 2^2130285440 is an apocalyptic number.

2130285440 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 2130285440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2552040000).

2130285440 is an abundant number, since it is smaller than the sum of its proper divisors (2973794560).

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

2130285440 is an equidigital number, since it uses as much as digits as its factorization.

2130285440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7447 (or 7435 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 2130285440 is about 46155.0153287809. The cubic root of 2130285440 is about 1286.7058229767.

The spelling of 2130285440 in words is "two billion, one hundred thirty million, two hundred eighty-five thousand, four hundred forty".