2132305440 has 48 divisors (see below), whose sum is σ = 6716763648. Its totient is φ = 568614656.

The previous prime is 2132305429. The next prime is 2132305451. The reversal of 2132305440 is 445032312.

2132305440 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2132305429) and next prime (2132305451).

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2132305440.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2220672 + ... + 2221631.

It is an arithmetic number, because the mean of its divisors is an integer number (139932576).

Almost surely, 2^2132305440 is an apocalyptic number.

2132305440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2132305440 is an abundant number, since it is smaller than the sum of its proper divisors (4584458208).

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

2132305440 is a wasteful number, since it uses less digits than its factorization.

2132305440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4442321 (or 4442313 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 2132305440 is about 46176.8929227595. The cubic root of 2132305440 is about 1287.1123920710.

Adding to 2132305440 its reverse (445032312), we get a palindrome (2577337752).

The spelling of 2132305440 in words is "two billion, one hundred thirty-two million, three hundred five thousand, four hundred forty".