2712792640 has 224 divisors, whose sum is σ = 7227417600. Its totient is φ = 965468160.

The previous prime is 2712792587. The next prime is 2712792647. The reversal of 2712792640 is 462972172.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 2712792593 and 2712792602.

It is not an unprimeable number, because it can be changed into a prime (2712792647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6973566 + ... + 6973954.

Almost surely, 2^2712792640 is an apocalyptic number.

2712792640 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 2712792640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3613708800).

2712792640 is an abundant number, since it is smaller than the sum of its proper divisors (4514624960).

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

2712792640 is a wasteful number, since it uses less digits than its factorization.

2712792640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 40.

The square root of 2712792640 is about 52084.4759981321. The cubic root of 2712792640 is about 1394.6723775957.

The spelling of 2712792640 in words is "two billion, seven hundred twelve million, seven hundred ninety-two thousand, six hundred forty".