2642332352 has 56 divisors (see below), whose sum is σ = 5746040832. Its totient is φ = 1195603200.

The previous prime is 2642332349. The next prime is 2642332387. The reversal of 2642332352 is 2532332462.

It is a super-3 number, since 3×2642332352³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 148577 + ... + 165407.

It is an arithmetic number, because the mean of its divisors is an integer number (102607872).

Almost surely, 2^2642332352 is an apocalyptic number.

2642332352 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 2642332352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2873020416).

2642332352 is an abundant number, since it is smaller than the sum of its proper divisors (3103708480).

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

2642332352 is a wasteful number, since it uses less digits than its factorization.

2642332352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17077 (or 17067 counting only the distinct ones).

The product of its digits is 51840, while the sum is 32.

The square root of 2642332352 is about 51403.6219735536. The cubic root of 2642332352 is about 1382.4915347733.

The spelling of 2642332352 in words is "two billion, six hundred forty-two million, three hundred thirty-two thousand, three hundred fifty-two".