260094240 has 480 divisors, whose sum is σ = 1088930304. Its totient is φ = 57231360.

The previous prime is 260094181. The next prime is 260094293. The reversal of 260094240 is 42490062.

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 (27).

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 79 ways as a sum of consecutive naturals, for example, 4263810 + ... + 4263870.

Almost surely, 2^260094240 is an apocalyptic number.

260094240 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 260094240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544465152).

260094240 is an abundant number, since it is smaller than the sum of its proper divisors (828836064).

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

260094240 is a wasteful number, since it uses less digits than its factorization.

260094240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 260094240 is about 16127.4374901904. The cubic root of 260094240 is about 638.3275343152.

The spelling of 260094240 in words is "two hundred sixty million, ninety-four thousand, two hundred forty".