260003040 has 192 divisors, whose sum is σ = 932746752. Its totient is φ = 60262400.

The previous prime is 260003039. The next prime is 260003047. The reversal of 260003040 is 40300062.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260003047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120370 + ... + 122510.

It is an arithmetic number, because the mean of its divisors is an integer number (4858056).

Almost surely, 2^260003040 is an apocalyptic number.

260003040 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 260003040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466373376).

260003040 is an abundant number, since it is smaller than the sum of its proper divisors (672743712).

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

260003040 is a wasteful number, since it uses less digits than its factorization.

260003040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2193 (or 2185 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 260003040 is about 16124.6097627198. The cubic root of 260003040 is about 638.2529174164.

The spelling of 260003040 in words is "two hundred sixty million, three thousand, forty".