2714945220 has 288 divisors, whose sum is σ = 9477336960. Its totient is φ = 623185920.

The previous prime is 2714945209. The next prime is 2714945227. The reversal of 2714945220 is 225494172.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2714945227) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5529175 + ... + 5529665.

It is an arithmetic number, because the mean of its divisors is an integer number (32907420).

Almost surely, 2^2714945220 is an apocalyptic number.

2714945220 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 2714945220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4738668480).

2714945220 is an abundant number, since it is smaller than the sum of its proper divisors (6762391740).

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

2714945220 is a wasteful number, since it uses less digits than its factorization.

2714945220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2714945220 is about 52105.1362151564. The cubic root of 2714945220 is about 1395.0411673210.

The spelling of 2714945220 in words is "two billion, seven hundred fourteen million, nine hundred forty-five thousand, two hundred twenty".