2714643960 has 256 divisors, whose sum is σ = 9770803200. Its totient is φ = 590284800.

The previous prime is 2714643949. The next prime is 2714643961. The reversal of 2714643960 is 693464172.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2714643961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1587586 + ... + 1589294.

It is an arithmetic number, because the mean of its divisors is an integer number (38167200).

Almost surely, 2^2714643960 is an apocalyptic number.

2714643960 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 2714643960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4885401600).

2714643960 is an abundant number, since it is smaller than the sum of its proper divisors (7056159240).

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

2714643960 is a wasteful number, since it uses less digits than its factorization.

2714643960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1822 (or 1818 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The square root of 2714643960 is about 52102.2452491253. The cubic root of 2714643960 is about 1394.9895658320.

The spelling of 2714643960 in words is "two billion, seven hundred fourteen million, six hundred forty-three thousand, nine hundred sixty".