2714781952 has 144 divisors (see below), whose sum is σ = 5973549120. Its totient is φ = 1226244096.

The previous prime is 2714781919. The next prime is 2714781961. The reversal of 2714781952 is 2591874172.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16655023 + ... + 16655185.

It is an arithmetic number, because the mean of its divisors is an integer number (41482980).

Almost surely, 2^2714781952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2714781952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2986774560).

2714781952 is an abundant number, since it is smaller than the sum of its proper divisors (3258767168).

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

2714781952 is a wasteful number, since it uses less digits than its factorization.

2714781952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 314 counting only the distinct ones).

The product of its digits is 282240, while the sum is 46.

The square root of 2714781952 is about 52103.5694746531. The cubic root of 2714781952 is about 1395.0132023433.

It can be divided in two parts, 271478 and 1952, that added together give a triangular number (273430 = T₇₃₉).

The spelling of 2714781952 in words is "two billion, seven hundred fourteen million, seven hundred eighty-one thousand, nine hundred fifty-two".