2714980320 has 144 divisors (see below), whose sum is σ = 9977621472. Its totient is φ = 668298240.

The previous prime is 2714980313. The next prime is 2714980327. The reversal of 2714980320 is 230894172.

2714980320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2714980313) and next prime (2714980327).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×2714980320² = 14742236275974604800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2714980327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53796 + ... + 91235.

It is an arithmetic number, because the mean of its divisors is an integer number (69289038).

Almost surely, 2^2714980320 is an apocalyptic number.

2714980320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2714980320 is an abundant number, since it is smaller than the sum of its proper divisors (7262641152).

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

2714980320 is a wasteful number, since it uses less digits than its factorization.

2714980320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145065 (or 145054 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2714980320 is about 52105.4730330701. The cubic root of 2714980320 is about 1395.0471791960.

The spelling of 2714980320 in words is "two billion, seven hundred fourteen million, nine hundred eighty thousand, three hundred twenty".