2132076672 has 192 divisors, whose sum is σ = 6726957120. Its totient is φ = 642816000.

The previous prime is 2132076643. The next prime is 2132076703. The reversal of 2132076672 is 2766702312.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3940722 + ... + 3941262.

It is an arithmetic number, because the mean of its divisors is an integer number (35036235).

Almost surely, 2^2132076672 is an apocalyptic number.

2132076672 is a gapful number since it is divisible by the number (22) 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 2132076672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3363478560).

2132076672 is an abundant number, since it is smaller than the sum of its proper divisors (4594880448).

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

2132076672 is a wasteful number, since it uses less digits than its factorization.

2132076672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 883 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 2132076672 is about 46174.4157732396. The cubic root of 2132076672 is about 1287.0663604139.

Adding to 2132076672 its reverse (2766702312), we get a palindrome (4898778984).

The spelling of 2132076672 in words is "two billion, one hundred thirty-two million, seventy-six thousand, six hundred seventy-two".