2712839040 has 320 divisors, whose sum is σ = 9921486960. Its totient is φ = 706019328.

The previous prime is 2712839033. The next prime is 2712839053. The reversal of 2712839040 is 409382172.

It is a tau number, because it is divible by the number of its divisors (320).

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 = 2712838986 and 2712839004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2228512 + ... + 2229728.

Almost surely, 2^2712839040 is an apocalyptic number.

2712839040 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 2712839040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4960743480).

2712839040 is an abundant number, since it is smaller than the sum of its proper divisors (7208647920).

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

2712839040 is a wasteful number, since it uses less digits than its factorization.

2712839040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1291 (or 1270 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2712839040 is about 52084.9214264551. The cubic root of 2712839040 is about 1394.6803291101.

The spelling of 2712839040 in words is "two billion, seven hundred twelve million, eight hundred thirty-nine thousand, forty".