2716492800 has 528 divisors, whose sum is σ = 10656714752. Its totient is φ = 597196800.

The previous prime is 2716492787. The next prime is 2716492813. The reversal of 2716492800 is 82946172.

It is an interprime number because it is at equal distance from previous prime (2716492787) and next prime (2716492813).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16665519 + ... + 16665681.

Almost surely, 2^2716492800 is an apocalyptic number.

2716492800 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 2716492800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5328357376).

2716492800 is an abundant number, since it is smaller than the sum of its proper divisors (7940221952).

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

2716492800 is a wasteful number, since it uses less digits than its factorization.

2716492800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 2716492800 is about 52119.9846508036. The cubic root of 2716492800 is about 1395.3061852802.

The spelling of 2716492800 in words is "two billion, seven hundred sixteen million, four hundred ninety-two thousand, eight hundred".