2712709440 has 280 divisors, whose sum is σ = 11028834432. Its totient is φ = 620006400.

The previous prime is 2712709429. The next prime is 2712709453. The reversal of 2712709440 is 449072172.

It is a tau number, because it is divible by the number of its divisors (280).

It is a super-2 number, since 2×2712709440² = 14717585011730227200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2712709395 and 2712709404.

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 39 ways as a sum of consecutive naturals, for example, 173965 + ... + 188915.

Almost surely, 2^2712709440 is an apocalyptic number.

2712709440 is a gapful number since it is divisible by the number (20) 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 2712709440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5514417216).

2712709440 is an abundant number, since it is smaller than the sum of its proper divisors (8316124992).

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

2712709440 is a wasteful number, since it uses less digits than its factorization.

2712709440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14987 (or 14968 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 2712709440 is about 52083.6772895309. The cubic root of 2712709440 is about 1394.6581194807.

The spelling of 2712709440 in words is "two billion, seven hundred twelve million, seven hundred nine thousand, four hundred forty".