2151591680 has 144 divisors (see below), whose sum is σ = 5914191360. Its totient is φ = 734662656.

The previous prime is 2151591671. The next prime is 2151591697. The reversal of 2151591680 is 861951512.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3933167 + ... + 3933713.

Almost surely, 2^2151591680 is an apocalyptic number.

2151591680 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 2151591680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2957095680).

2151591680 is an abundant number, since it is smaller than the sum of its proper divisors (3762599680).

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

2151591680 is an equidigital number, since it uses as much as digits as its factorization.

2151591680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1014 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 38.

The square root of 2151591680 is about 46385.2528288895. The cubic root of 2151591680 is about 1290.9813016900.

The spelling of 2151591680 in words is "two billion, one hundred fifty-one million, five hundred ninety-one thousand, six hundred eighty".