2712968640 has 336 divisors, whose sum is σ = 9785543040. Its totient is φ = 715392000.

The previous prime is 2712968633. The next prime is 2712968651. The reversal of 2712968640 is 468692172.

It is a happy number.

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, 10808515 + ... + 10808765.

It is an arithmetic number, because the mean of its divisors is an integer number (29123640).

Almost surely, 2^2712968640 is an apocalyptic number.

2712968640 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 2712968640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4892771520).

2712968640 is an abundant number, since it is smaller than the sum of its proper divisors (7072574400).

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

2712968640 is a wasteful number, since it uses less digits than its factorization.

2712968640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 2712968640 is about 52086.1655336616. The cubic root of 2712968640 is about 1394.7025380322.

It can be divided in two parts, 271296 and 8640, that added together give a 7-th power (279936 = 6⁷).

The spelling of 2712968640 in words is "two billion, seven hundred twelve million, nine hundred sixty-eight thousand, six hundred forty".