2141465580 has 96 divisors (see below), whose sum is σ = 6669190080. Its totient is φ = 570470400.

The previous prime is 2141465551. The next prime is 2141465581. The reversal of 2141465580 is 855641412.

It is a happy number.

2141465580 is a `hidden beast` number, since 2 + 1 + 4 + 14 + 65 + 580 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2141465581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 863302 + ... + 865778.

It is an arithmetic number, because the mean of its divisors is an integer number (69470730).

Almost surely, 2^2141465580 is an apocalyptic number.

2141465580 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 2141465580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3334595040).

2141465580 is an abundant number, since it is smaller than the sum of its proper divisors (4527724500).

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

2141465580 is a wasteful number, since it uses less digits than its factorization.

2141465580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4096 (or 4088 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 2141465580 is about 46275.9719508948. The cubic root of 2141465580 is about 1288.9528549253.

The spelling of 2141465580 in words is "two billion, one hundred forty-one million, four hundred sixty-five thousand, five hundred eighty".