2712973824 has 400 divisors, whose sum is σ = 9328286880. Its totient is φ = 776355840.

The previous prime is 2712973811. The next prime is 2712973831. The reversal of 2712973824 is 4283792172.

It is a self number, because there is not a number n which added to its sum of digits gives 2712973824.

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 39 ways as a sum of consecutive naturals, for example, 8667492 + ... + 8667804.

Almost surely, 2^2712973824 is an apocalyptic number.

2712973824 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 2712973824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4664143440).

2712973824 is an abundant number, since it is smaller than the sum of its proper divisors (6615313056).

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

2712973824 is a wasteful number, since it uses less digits than its factorization.

2712973824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 348 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 2712973824 is about 52086.2152973318. The cubic root of 2712973824 is about 1394.7034263744.

The spelling of 2712973824 in words is "two billion, seven hundred twelve million, nine hundred seventy-three thousand, eight hundred twenty-four".