2714133984 has 48 divisors (see below), whose sum is σ = 7131720960. Its totient is φ = 903807360.

The previous prime is 2714133971. The next prime is 2714133991. The reversal of 2714133984 is 4893314172.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 86139 + ... + 113349.

It is an arithmetic number, because the mean of its divisors is an integer number (148577520).

Almost surely, 2^2714133984 is an apocalyptic number.

2714133984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2714133984 is an abundant number, since it is smaller than the sum of its proper divisors (4417586976).

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

2714133984 is a wasteful number, since it uses less digits than its factorization.

2714133984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28263 (or 28255 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 2714133984 is about 52097.3510267077. The cubic root of 2714133984 is about 1394.9022056032.

The spelling of 2714133984 in words is "two billion, seven hundred fourteen million, one hundred thirty-three thousand, nine hundred eighty-four".