2132464600 has 96 divisors (see below), whose sum is σ = 5798200320. Its totient is φ = 714107520.

The previous prime is 2132464577. The next prime is 2132464603. The reversal of 2132464600 is 64642312.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2132464603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42489 + ... + 77911.

It is an arithmetic number, because the mean of its divisors is an integer number (60397920).

Almost surely, 2^2132464600 is an apocalyptic number.

2132464600 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 2132464600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2899100160).

2132464600 is an abundant number, since it is smaller than the sum of its proper divisors (3665735720).

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

2132464600 is a wasteful number, since it uses less digits than its factorization.

2132464600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35489 (or 35480 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 2132464600 is about 46178.6162633745. The cubic root of 2132464600 is about 1287.1444155806.

The spelling of 2132464600 in words is "two billion, one hundred thirty-two million, four hundred sixty-four thousand, six hundred".