2149632 has 72 divisors (see below), whose sum is σ = 6377280. Its totient is φ = 714240.

The previous prime is 2149621. The next prime is 2149661. The reversal of 2149632 is 2369412.

2149632 is a `hidden beast` number, since 21 + 4 + 9 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a nude number because it is divisible by every one of its digits.

It is an alternating number because its digits alternate between even and odd.

It is a junction number, because it is equal to n+sod(n) for n = 2149596 and 2149605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6757 + ... + 7067.

2^2149632 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 2149632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3188640).

2149632 is an abundant number, since it is smaller than the sum of its proper divisors (4227648).

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

2149632 is an equidigital number, since it uses as much as digits as its factorization.

2149632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 316 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 2149632 is about 1466.1623375329. The cubic root of 2149632 is about 129.0589238652.

It can be divided in two parts, 21496 and 32, that added together give a triangular number (21528 = T₂₀₇).

The spelling of 2149632 in words is "two million, one hundred forty-nine thousand, six hundred thirty-two".