2714682432 has 168 divisors, whose sum is σ = 9023307328. Its totient is φ = 705070080.

The previous prime is 2714682409. The next prime is 2714682457. The reversal of 2714682432 is 2342864172.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 154278 + ... + 170970.

Almost surely, 2^2714682432 is an apocalyptic number.

2714682432 is a gapful number since it is divisible by the number (22) 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 2714682432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4511653664).

2714682432 is an abundant number, since it is smaller than the sum of its proper divisors (6308624896).

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

2714682432 is a wasteful number, since it uses less digits than its factorization.

2714682432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16737 (or 16716 counting only the distinct ones).

The product of its digits is 129024, while the sum is 39.

The square root of 2714682432 is about 52102.6144449585. The cubic root of 2714682432 is about 1394.9961557428.

The spelling of 2714682432 in words is "two billion, seven hundred fourteen million, six hundred eighty-two thousand, four hundred thirty-two".