2645632 has 32 divisors (see below), whose sum is σ = 5752800. Its totient is φ = 1201920.

The previous prime is 2645603. The next prime is 2645639. The reversal of 2645632 is 2365462.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is an Ulam number.

It is a d-powerful number, because it can be written as 2⁷ + 6³ + 4¹⁰ + 5³ + 6³ + 3¹³ + 2¹¹ .

It is a self number, because there is not a number n which added to its sum of digits gives 2645632.

It is not an unprimeable number, because it can be changed into a prime (2645639) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 469 + ... + 2347.

It is an arithmetic number, because the mean of its divisors is an integer number (179775).

2^2645632 is an apocalyptic number.

2645632 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 2645632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2876400).

2645632 is an abundant number, since it is smaller than the sum of its proper divisors (3107168).

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

2645632 is a wasteful number, since it uses less digits than its factorization.

2645632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1904 (or 1892 counting only the distinct ones).

The product of its digits is 8640, while the sum is 28.

The square root of 2645632 is about 1626.5398857698. The cubic root of 2645632 is about 138.3066763686.

The spelling of 2645632 in words is "two million, six hundred forty-five thousand, six hundred thirty-two".