2146732632 has 320 divisors, whose sum is σ = 7014902400. Its totient is φ = 611582400.

The previous prime is 2146732619. The next prime is 2146732663. The reversal of 2146732632 is 2362376412.

2146732632 is a `hidden beast` number, since 2 + 14 + 6 + 7 + 3 + 2 + 632 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16387207 + ... + 16387337.

It is an arithmetic number, because the mean of its divisors is an integer number (21921570).

Almost surely, 2^2146732632 is an apocalyptic number.

2146732632 is a gapful number since it is divisible by the number (22) 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 2146732632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3507451200).

2146732632 is an abundant number, since it is smaller than the sum of its proper divisors (4868169768).

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

2146732632 is a wasteful number, since it uses less digits than its factorization.

2146732632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 166 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 2146732632 is about 46332.8461461197. The cubic root of 2146732632 is about 1290.0087398002.

The spelling of 2146732632 in words is "two billion, one hundred forty-six million, seven hundred thirty-two thousand, six hundred thirty-two".