2142443520 has 672 divisors, whose sum is σ = 9023283360. Its totient is φ = 477757440.

The previous prime is 2142443519. The next prime is 2142443533. The reversal of 2142443520 is 253442412.

2142443520 is a `hidden beast` number, since 214 + 2 + 443 + 5 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 52254700 + ... + 52254740.

It is an arithmetic number, because the mean of its divisors is an integer number (13427505).

Almost surely, 2^2142443520 is an apocalyptic number.

2142443520 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 2142443520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4511641680).

2142443520 is an abundant number, since it is smaller than the sum of its proper divisors (6880839840).

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

2142443520 is an frugal number, since it uses more digits than its factorization.

2142443520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 2142443520 is about 46286.5371355430. The cubic root of 2142443520 is about 1289.1490331464.

Adding to 2142443520 its reverse (253442412), we get a palindrome (2395885932).

The spelling of 2142443520 in words is "two billion, one hundred forty-two million, four hundred forty-three thousand, five hundred twenty".