2623668480 has 216 divisors, whose sum is σ = 9612314712. Its totient is φ = 658440192.

The previous prime is 2623668419. The next prime is 2623668493. The reversal of 2623668480 is 848663262.

It can be written as a sum of positive squares in 4 ways, for example, as 73822464 + 2549846016 = 8592^2 + 50496^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 189142 + ... + 202538.

It is an arithmetic number, because the mean of its divisors is an integer number (44501457).

Almost surely, 2^2623668480 is an apocalyptic number.

2623668480 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 2623668480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4806157356).

2623668480 is an abundant number, since it is smaller than the sum of its proper divisors (6988646232).

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

2623668480 is a wasteful number, since it uses less digits than its factorization.

2623668480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13441 (or 13424 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 2623668480 is about 51221.7578769023. The cubic root of 2623668480 is about 1379.2288066650.

The spelling of 2623668480 in words is "two billion, six hundred twenty-three million, six hundred sixty-eight thousand, four hundred eighty".