2721181824 has 256 divisors, whose sum is σ = 8751600000. Its totient is φ = 829108224.

The previous prime is 2721181811. The next prime is 2721181847. The reversal of 2721181824 is 4281811272.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1903542 + ... + 1904970.

Almost surely, 2^2721181824 is an apocalyptic number.

2721181824 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 2721181824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4375800000).

2721181824 is an abundant number, since it is smaller than the sum of its proper divisors (6030418176).

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

2721181824 is a wasteful number, since it uses less digits than its factorization.

2721181824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1500 (or 1482 counting only the distinct ones).

The product of its digits is 14336, while the sum is 36.

The square root of 2721181824 is about 52164.9482315472. The cubic root of 2721181824 is about 1396.1085511494.

The spelling of 2721181824 in words is "two billion, seven hundred twenty-one million, one hundred eighty-one thousand, eight hundred twenty-four".