2712272640 has 288 divisors, whose sum is σ = 10800953856. Its totient is φ = 563527680.

The previous prime is 2712272621. The next prime is 2712272659. The reversal of 2712272640 is 462722172.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2712272621) and next prime (2712272659).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 291094 + ... + 300266.

It is an arithmetic number, because the mean of its divisors is an integer number (37503312).

Almost surely, 2^2712272640 is an apocalyptic number.

2712272640 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 2712272640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5400476928).

2712272640 is an abundant number, since it is smaller than the sum of its proper divisors (8088681216).

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

2712272640 is a wasteful number, since it uses less digits than its factorization.

2712272640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9215 (or 9201 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 2712272640 is about 52079.4838684102. The cubic root of 2712272640 is about 1394.5832595937.

The spelling of 2712272640 in words is "two billion, seven hundred twelve million, two hundred seventy-two thousand, six hundred forty".