2716369920 has 528 divisors, whose sum is σ = 10760211072. Its totient is φ = 627179520.

The previous prime is 2716369919. The next prime is 2716369949. The reversal of 2716369920 is 299636172.

It is a happy number.

2716369920 is a `hidden beast` number, since 2 + 7 + 1 + 636 + 9 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11658124 + ... + 11658356.

Almost surely, 2^2716369920 is an apocalyptic number.

2716369920 is a gapful number since it is divisible by the number (20) 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 2716369920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5380105536).

2716369920 is an abundant number, since it is smaller than the sum of its proper divisors (8043841152).

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

2716369920 is a wasteful number, since it uses less digits than its factorization.

2716369920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 2716369920 is about 52118.8058190132. The cubic root of 2716369920 is about 1395.2851461657.

The spelling of 2716369920 in words is "two billion, seven hundred sixteen million, three hundred sixty-nine thousand, nine hundred twenty".