2132284704 has 192 divisors, whose sum is σ = 6625245312. Its totient is φ = 593100800.

The previous prime is 2132284703. The next prime is 2132284727. The reversal of 2132284704 is 4074822312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (2132284703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 734584 + ... + 737480.

It is an arithmetic number, because the mean of its divisors is an integer number (34506486).

Almost surely, 2^2132284704 is an apocalyptic number.

2132284704 is a gapful number since it is divisible by the number (24) 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 2132284704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3312622656).

2132284704 is an abundant number, since it is smaller than the sum of its proper divisors (4492960608).

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

2132284704 is a wasteful number, since it uses less digits than its factorization.

2132284704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2979 (or 2971 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 2132284704 is about 46176.6683943309. The cubic root of 2132284704 is about 1287.1082198030.

The spelling of 2132284704 in words is "two billion, one hundred thirty-two million, two hundred eighty-four thousand, seven hundred four".