2712213504 has 768 divisors, whose sum is σ = 11007360000. Its totient is φ = 650280960.

The previous prime is 2712213481. The next prime is 2712213527. The reversal of 2712213504 is 4053122172.

2712213504 is a `hidden beast` number, since 27 + 122 + 13 + 504 = 666.

It is an interprime number because it is at equal distance from previous prime (2712213481) and next prime (2712213527).

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×2712213504² = 14712204182559916032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 208631802 + ... + 208631814.

It is an arithmetic number, because the mean of its divisors is an integer number (14332500).

Almost surely, 2^2712213504 is an apocalyptic number.

2712213504 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 2712213504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5503680000).

2712213504 is an abundant number, since it is smaller than the sum of its proper divisors (8295146496).

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

2712213504 is a wasteful number, since it uses less digits than its factorization.

2712213504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 2712213504 is about 52078.9161177534. The cubic root of 2712213504 is about 1394.5731240990.

Adding to 2712213504 its reverse (4053122172), we get a palindrome (6765335676).

The spelling of 2712213504 in words is "two billion, seven hundred twelve million, two hundred thirteen thousand, five hundred four".