2718468480 has 256 divisors, whose sum is σ = 10665446400. Its totient is φ = 573530112.

The previous prime is 2718468449. The next prime is 2718468541. The reversal of 2718468480 is 848648172.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 166941 + ... + 182499.

It is an arithmetic number, because the mean of its divisors is an integer number (41661900).

Almost surely, 2^2718468480 is an apocalyptic number.

2718468480 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 2718468480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5332723200).

2718468480 is an abundant number, since it is smaller than the sum of its proper divisors (7946977920).

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

2718468480 is a wasteful number, since it uses less digits than its factorization.

2718468480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15601 (or 15589 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 48.

The square root of 2718468480 is about 52138.9343964757. The cubic root of 2718468480 is about 1395.6443677205.

The spelling of 2718468480 in words is "two billion, seven hundred eighteen million, four hundred sixty-eight thousand, four hundred eighty".