2658005280 has 480 divisors, whose sum is σ = 10880521344. Its totient is φ = 598523904.

The previous prime is 2658005269. The next prime is 2658005309. The reversal of 2658005280 is 825008562.

2658005280 is a `hidden beast` number, since 26 + 580 + 0 + 52 + 8 + 0 = 666.

2658005280 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 (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7529584 + ... + 7529936.

Almost surely, 2^2658005280 is an apocalyptic number.

2658005280 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 2658005280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5440260672).

2658005280 is an abundant number, since it is smaller than the sum of its proper divisors (8222516064).

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

2658005280 is a wasteful number, since it uses less digits than its factorization.

2658005280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 2658005280 is about 51555.8462252342. The cubic root of 2658005280 is about 1385.2195527470.

The spelling of 2658005280 in words is "two billion, six hundred fifty-eight million, five thousand, two hundred eighty".