2141404560 has 160 divisors (see below), whose sum is σ = 7390776960. Its totient is φ = 569894400.

The previous prime is 2141404511. The next prime is 2141404583. The reversal of 2141404560 is 654041412.

2141404560 is a `hidden beast` number, since 21 + 41 + 40 + 4 + 560 = 666.

It is a super-2 number, since 2×2141404560² = 9171226979177587200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 2096850 + ... + 2097870.

It is an arithmetic number, because the mean of its divisors is an integer number (46192356).

Almost surely, 2^2141404560 is an apocalyptic number.

2141404560 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 2141404560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3695388480).

2141404560 is an abundant number, since it is smaller than the sum of its proper divisors (5249372400).

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

2141404560 is a wasteful number, since it uses less digits than its factorization.

2141404560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2014 (or 2002 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2141404560 is about 46275.3126407591. The cubic root of 2141404560 is about 1288.9406121182.

Adding to 2141404560 its reverse (654041412), we get a palindrome (2795445972).

The spelling of 2141404560 in words is "two billion, one hundred forty-one million, four hundred four thousand, five hundred sixty".