2449632 has 96 divisors (see below), whose sum is σ = 7257600. Its totient is φ = 718848.

The previous prime is 2449619. The next prime is 2449639. The reversal of 2449632 is 2369442.

It is a tau number, because it is divible by the number of its divisors (96).

It is a d-powerful number, because it can be written as 2¹¹ + 4 + 4⁹ + 9⁵ + 6⁵ + 3¹³ + 2¹⁹ .

Its product of digits (10368) is a multiple of the sum of its prime factors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 2449632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2449639) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30969 + ... + 31047.

It is an arithmetic number, because the mean of its divisors is an integer number (75600).

2^2449632 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 2449632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3628800).

2449632 is an abundant number, since it is smaller than the sum of its proper divisors (4807968).

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

2449632 is a wasteful number, since it uses less digits than its factorization.

2449632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 120 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

The square root of 2449632 is about 1565.1300265473. The cubic root of 2449632 is about 134.8032249813.

It can be divided in two parts, 2449 and 632, that added together give a triangular number (3081 = T₇₈).

The spelling of 2449632 in words is "two million, four hundred forty-nine thousand, six hundred thirty-two".