2132781560 has 128 divisors (see below), whose sum is σ = 6006873600. Its totient is φ = 663482880.

The previous prime is 2132781517. The next prime is 2132781601. The reversal of 2132781560 is 651872312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 2132781560.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 209795 + ... + 219725.

It is an arithmetic number, because the mean of its divisors is an integer number (46928700).

Almost surely, 2^2132781560 is an apocalyptic number.

2132781560 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 2132781560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3003436800).

2132781560 is an abundant number, since it is smaller than the sum of its proper divisors (3874092040).

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

2132781560 is a wasteful number, since it uses less digits than its factorization.

2132781560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10021 (or 10017 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The square root of 2132781560 is about 46182.0480273450. The cubic root of 2132781560 is about 1287.2081842175.

The spelling of 2132781560 in words is "two billion, one hundred thirty-two million, seven hundred eighty-one thousand, five hundred sixty".