260002080 has 576 divisors, whose sum is σ = 1089728640. Its totient is φ = 55738368.

The previous prime is 260002079. The next prime is 260002091. The reversal of 260002080 is 80200062.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6046539 + ... + 6046581.

It is an arithmetic number, because the mean of its divisors is an integer number (1891890).

Almost surely, 2^260002080 is an apocalyptic number.

260002080 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 260002080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544864320).

260002080 is an abundant number, since it is smaller than the sum of its proper divisors (829726560).

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

260002080 is a wasteful number, since it uses less digits than its factorization.

260002080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 260002080 is about 16124.5799945301. The cubic root of 260002080 is about 638.2521318826.

The spelling of 260002080 in words is "two hundred sixty million, two thousand, eighty".