2712948480 has 432 divisors, whose sum is σ = 10407720960. Its totient is φ = 646963200.

The previous prime is 2712948479. The next prime is 2712948499. The reversal of 2712948480 is 848492172.

2712948480 is a `hidden beast` number, since 2 + 7 + 129 + 48 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10010745 + ... + 10011015.

Almost surely, 2^2712948480 is an apocalyptic number.

2712948480 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 2712948480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5203860480).

2712948480 is an abundant number, since it is smaller than the sum of its proper divisors (7694772480).

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

2712948480 is a wasteful number, since it uses less digits than its factorization.

2712948480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 2712948480 is about 52085.9720078257. The cubic root of 2712948480 is about 1394.6990833574.

The spelling of 2712948480 in words is "two billion, seven hundred twelve million, nine hundred forty-eight thousand, four hundred eighty".