2646708480 has 576 divisors, whose sum is σ = 10425381120. Its totient is φ = 631701504.

The previous prime is 2646708469. The next prime is 2646708511. The reversal of 2646708480 is 848076462.

It is a tau number, because it is divible by the number of its divisors (576).

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

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 63 ways as a sum of consecutive naturals, for example, 19318972 + ... + 19319108.

It is an arithmetic number, because the mean of its divisors is an integer number (18099620).

Almost surely, 2^2646708480 is an apocalyptic number.

2646708480 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 2646708480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5212690560).

2646708480 is an abundant number, since it is smaller than the sum of its proper divisors (7778672640).

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

2646708480 is a wasteful number, since it uses less digits than its factorization.

2646708480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 2646708480 is about 51446.1707029785. The cubic root of 2646708480 is about 1383.2543233853.

The spelling of 2646708480 in words is "two billion, six hundred forty-six million, seven hundred eight thousand, four hundred eighty".