2142225984 has 168 divisors, whose sum is σ = 6181148928. Its totient is φ = 654013440.

The previous prime is 2142225983. The next prime is 2142226057. The reversal of 2142225984 is 4895222412.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142225983) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2148174 + ... + 2149170.

Almost surely, 2^2142225984 is an apocalyptic number.

2142225984 is a gapful number since it is divisible by the number (24) 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 2142225984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3090574464).

2142225984 is an abundant number, since it is smaller than the sum of its proper divisors (4038922944).

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

2142225984 is a wasteful number, since it uses less digits than its factorization.

2142225984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1081 (or 1052 counting only the distinct ones).

The product of its digits is 92160, while the sum is 39.

The square root of 2142225984 is about 46284.1871917397. The cubic root of 2142225984 is about 1289.1053998194.

The spelling of 2142225984 in words is "two billion, one hundred forty-two million, two hundred twenty-five thousand, nine hundred eighty-four".