2814666480 has 240 divisors, whose sum is σ = 9739123680. Its totient is φ = 728082432.

The previous prime is 2814666473. The next prime is 2814666493. The reversal of 2814666480 is 846664182.

2814666480 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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, 7089642 + ... + 7090038.

It is an arithmetic number, because the mean of its divisors is an integer number (40579682).

Almost surely, 2^2814666480 is an apocalyptic number.

2814666480 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 2814666480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4869561840).

2814666480 is an abundant number, since it is smaller than the sum of its proper divisors (6924457200).

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

2814666480 is a wasteful number, since it uses less digits than its factorization.

2814666480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 2814666480 is about 53053.4304263164. The cubic root of 2814666480 is about 1411.9163922065.

The spelling of 2814666480 in words is "two billion, eight hundred fourteen million, six hundred sixty-six thousand, four hundred eighty".