2132455680 has 144 divisors (see below), whose sum is σ = 7567378560. Its totient is φ = 568645632.

The previous prime is 2132455679. The next prime is 2132455687. The reversal of 2132455680 is 865542312.

2132455680 is a `hidden beast` number, since 2 + 1 + 3 + 24 + 556 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2132455687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3709 + ... + 65411.

It is an arithmetic number, because the mean of its divisors is an integer number (52551240).

Almost surely, 2^2132455680 is an apocalyptic number.

2132455680 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 2132455680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3783689280).

2132455680 is an abundant number, since it is smaller than the sum of its proper divisors (5434922880).

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

2132455680 is an equidigital number, since it uses as much as digits as its factorization.

2132455680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61733 (or 61713 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 2132455680 is about 46178.5196817741. The cubic root of 2132455680 is about 1287.1426208897.

Adding to 2132455680 its reverse (865542312), we get a palindrome (2997997992).

The spelling of 2132455680 in words is "two billion, one hundred thirty-two million, four hundred fifty-five thousand, six hundred eighty".