2717916480 has 336 divisors, whose sum is σ = 10136453184. Its totient is φ = 665763840.

The previous prime is 2717916457. The next prime is 2717916491. The reversal of 2717916480 is 846197172.

It is a happy number.

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

It is a congruent number.

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, 2104635 + ... + 2105925.

Almost surely, 2^2717916480 is an apocalyptic number.

2717916480 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 2717916480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5068226592).

2717916480 is an abundant number, since it is smaller than the sum of its proper divisors (7418536704).

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

2717916480 is a wasteful number, since it uses less digits than its factorization.

2717916480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1374 (or 1361 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 2717916480 is about 52133.6405788048. The cubic root of 2717916480 is about 1395.5498969002.

It can be divided in two parts, 27 and 17916480, that multiplied together give a triangular number (483744960 = T₃₁₁₀₄).

The spelling of 2717916480 in words is "two billion, seven hundred seventeen million, nine hundred sixteen thousand, four hundred eighty".