2732262624 has 768 divisors, whose sum is σ = 10838016000. Its totient is φ = 649451520.

The previous prime is 2732262583. The next prime is 2732262671. The reversal of 2732262624 is 4262622372.

2732262624 is a `hidden beast` number, since 2 + 7 + 3 + 2 + 2 + 626 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 46309507 + ... + 46309565.

It is an arithmetic number, because the mean of its divisors is an integer number (14112000).

Almost surely, 2^2732262624 is an apocalyptic number.

2732262624 is a gapful number since it is divisible by the number (24) 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 2732262624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5419008000).

2732262624 is an abundant number, since it is smaller than the sum of its proper divisors (8105753376).

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

2732262624 is a wasteful number, since it uses less digits than its factorization.

2732262624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 134 counting only the distinct ones).

The product of its digits is 96768, while the sum is 36.

The square root of 2732262624 is about 52271.0495781365. The cubic root of 2732262624 is about 1398.0009946759. Note that the first 3 decimals are identical.

Adding to 2732262624 its reverse (4262622372), we get a palindrome (6994884996).

It can be divided in two parts, 2732 and 262624, that added together give a triangular number (265356 = T₇₂₈).

The spelling of 2732262624 in words is "two billion, seven hundred thirty-two million, two hundred sixty-two thousand, six hundred twenty-four".