2624306132 has 72 divisors (see below), whose sum is σ = 5462150400. Its totient is φ = 1099707840.

The previous prime is 2624306131. The next prime is 2624306137. The reversal of 2624306132 is 2316034262.

It is a junction number, because it is equal to n+sod(n) for n = 2624306095 and 2624306104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2624306131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2378693 + ... + 2379795.

It is an arithmetic number, because the mean of its divisors is an integer number (75863200).

Almost surely, 2^2624306132 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 2624306132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2731075200).

2624306132 is an abundant number, since it is smaller than the sum of its proper divisors (2837844268).

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

2624306132 is a wasteful number, since it uses less digits than its factorization.

2624306132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1381 (or 1372 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

The square root of 2624306132 is about 51227.9819239447. The cubic root of 2624306132 is about 1379.3405327685.

The spelling of 2624306132 in words is "two billion, six hundred twenty-four million, three hundred six thousand, one hundred thirty-two".