2714695984 has 240 divisors, whose sum is σ = 7499242240. Its totient is φ = 923788800.

The previous prime is 2714695981. The next prime is 2714695999. The reversal of 2714695984 is 4895964172.

2714695984 = T₄₉₉₂ + T₄₉₉₃ + ... + T₅₂₀₀.

2714695984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2714695981) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3346939 + ... + 3347749.

Almost surely, 2^2714695984 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 2714695984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3749621120).

2714695984 is an abundant number, since it is smaller than the sum of its proper divisors (4784546256).

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

2714695984 is a wasteful number, since it uses less digits than its factorization.

2714695984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 880 (or 863 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 55.

The square root of 2714695984 is about 52102.7444958517. The cubic root of 2714695984 is about 1394.9984770648.

The spelling of 2714695984 in words is "two billion, seven hundred fourteen million, six hundred ninety-five thousand, nine hundred eighty-four".