2132765280 has 144 divisors (see below), whose sum is σ = 7512994944. Its totient is φ = 550379520.

The previous prime is 2132765273. The next prime is 2132765293. The reversal of 2132765280 is 825672312.

2132765280 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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, 20752 + ... + 68528.

It is an arithmetic number, because the mean of its divisors is an integer number (52173576).

Almost surely, 2^2132765280 is an apocalyptic number.

2132765280 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 2132765280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3756497472).

2132765280 is an abundant number, since it is smaller than the sum of its proper divisors (5380229664).

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

2132765280 is a wasteful number, since it uses less digits than its factorization.

2132765280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47829 (or 47818 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2132765280 is about 46181.8717680434. The cubic root of 2132765280 is about 1287.2049090263.

The spelling of 2132765280 in words is "two billion, one hundred thirty-two million, seven hundred sixty-five thousand, two hundred eighty".