2146405632 has 144 divisors (see below), whose sum is σ = 6812897280. Its totient is φ = 586561536.

The previous prime is 2146405529. The next prime is 2146405693. The reversal of 2146405632 is 2365046412.

It is a junction number, because it is equal to n+sod(n) for n = 2146405593 and 2146405602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114969 + ... + 132327.

Almost surely, 2^2146405632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2146405632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3406448640).

2146405632 is an abundant number, since it is smaller than the sum of its proper divisors (4666491648).

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

2146405632 is a wasteful number, since it uses less digits than its factorization.

2146405632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17408 (or 17394 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 2146405632 is about 46329.3171976449. The cubic root of 2146405632 is about 1289.9432364903.

The spelling of 2146405632 in words is "two billion, one hundred forty-six million, four hundred five thousand, six hundred thirty-two".