2141314560 has 960 divisors, whose sum is σ = 9927650304. Its totient is φ = 412876800.

The previous prime is 2141314547. The next prime is 2141314597. The reversal of 2141314560 is 654131412.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30159325 + ... + 30159395.

Almost surely, 2^2141314560 is an apocalyptic number.

2141314560 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 2141314560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4963825152).

2141314560 is an abundant number, since it is smaller than the sum of its proper divisors (7786335744).

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

2141314560 is a wasteful number, since it uses less digits than its factorization.

2141314560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2141314560 is about 46274.3401897855. The cubic root of 2141314560 is about 1288.9225544560.

Adding to 2141314560 its reverse (654131412), we get a palindrome (2795445972).

The spelling of 2141314560 in words is "two billion, one hundred forty-one million, three hundred fourteen thousand, five hundred sixty".