2132132640 has 192 divisors, whose sum is σ = 7497971712. Its totient is φ = 504806400.

The previous prime is 2132132621. The next prime is 2132132657. The reversal of 2132132640 is 462312312.

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 2132132640.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 222345 + ... + 231735.

It is an arithmetic number, because the mean of its divisors is an integer number (39051936).

Almost surely, 2^2132132640 is an apocalyptic number.

2132132640 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 2132132640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3748985856).

2132132640 is an abundant number, since it is smaller than the sum of its proper divisors (5365839072).

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

2132132640 is a wasteful number, since it uses less digits than its factorization.

2132132640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9463 (or 9455 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 2132132640 is about 46175.0218191611. The cubic root of 2132132640 is about 1287.0776223446.

Adding to 2132132640 its reverse (462312312), we get a palindrome (2594444952).

The spelling of 2132132640 in words is "two billion, one hundred thirty-two million, one hundred thirty-two thousand, six hundred forty".