2721147264 has 256 divisors, whose sum is σ = 9047808000. Its totient is φ = 797644800.

The previous prime is 2721147259. The next prime is 2721147271. The reversal of 2721147264 is 4627411272.

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

It is a congruent number.

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, 1177342 + ... + 1179650.

It is an arithmetic number, because the mean of its divisors is an integer number (35343000).

Almost surely, 2^2721147264 is an apocalyptic number.

2721147264 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 2721147264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4523904000).

2721147264 is an abundant number, since it is smaller than the sum of its proper divisors (6326660736).

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

2721147264 is a wasteful number, since it uses less digits than its factorization.

2721147264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2374 (or 2356 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 2721147264 is about 52164.6169735770. The cubic root of 2721147264 is about 1396.1026407620.

It can be divided in two parts, 272114 and 7264, that added together give a triangular number (279378 = T₇₄₇).

The spelling of 2721147264 in words is "two billion, seven hundred twenty-one million, one hundred forty-seven thousand, two hundred sixty-four".