2121440160 has 192 divisors, whose sum is σ = 7730214912. Its totient is φ = 478995456.

The previous prime is 2121440147. The next prime is 2121440173. The reversal of 2121440160 is 610441212.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2121440147) and next prime (2121440173).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 275077 + ... + 282683.

It is an arithmetic number, because the mean of its divisors is an integer number (40261536).

Almost surely, 2^2121440160 is an apocalyptic number.

2121440160 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 2121440160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3865107456).

2121440160 is an abundant number, since it is smaller than the sum of its proper divisors (5608774752).

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

2121440160 is a wasteful number, since it uses less digits than its factorization.

2121440160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7715 (or 7707 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 2121440160 is about 46059.0942160178. The cubic root of 2121440160 is about 1284.9224841833.

Adding to 2121440160 its reverse (610441212), we get a palindrome (2731881372).

The spelling of 2121440160 in words is "two billion, one hundred twenty-one million, four hundred forty thousand, one hundred sixty".