2132379648 has 288 divisors, whose sum is σ = 7357240800. Its totient is φ = 608477184.

The previous prime is 2132379647. The next prime is 2132379653. The reversal of 2132379648 is 8469732312.

2132379648 is a `hidden beast` number, since 213 + 2 + 379 + 64 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2132379647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2709111 + ... + 2709897.

It is an arithmetic number, because the mean of its divisors is an integer number (25545975).

Almost surely, 2^2132379648 is an apocalyptic number.

2132379648 is a gapful number since it is divisible by the number (28) 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 2132379648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3678620400).

2132379648 is an abundant number, since it is smaller than the sum of its proper divisors (5224861152).

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

2132379648 is an equidigital number, since it uses as much as digits as its factorization.

2132379648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 832 (or 799 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 2132379648 is about 46177.6964345343. The cubic root of 2132379648 is about 1287.1273231602.

The spelling of 2132379648 in words is "two billion, one hundred thirty-two million, three hundred seventy-nine thousand, six hundred forty-eight".