2714821120 has 320 divisors, whose sum is σ = 7732112256. Its totient is φ = 903086080.

The previous prime is 2714821111. The next prime is 2714821121. The reversal of 2714821120 is 211284172.

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

It is not an unprimeable number, because it can be changed into a prime (2714821121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25372107 + ... + 25372213.

Almost surely, 2^2714821120 is an apocalyptic number.

2714821120 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 2714821120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3866056128).

2714821120 is an abundant number, since it is smaller than the sum of its proper divisors (5017291136).

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

2714821120 is a wasteful number, since it uses less digits than its factorization.

2714821120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 28.

The square root of 2714821120 is about 52103.9453400604. The cubic root of 2714821120 is about 1395.0199112449.

The spelling of 2714821120 in words is "two billion, seven hundred fourteen million, eight hundred twenty-one thousand, one hundred twenty".