260107640240 has 80 divisors (see below), whose sum is σ = 713438146560. Its totient is φ = 86302990080.

The previous prime is 260107640173. The next prime is 260107640249. The reversal of 260107640240 is 42046701062.

260107640240 is digitally balanced in base 3, because in such base 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 (80).

It is a super-2 number, since 2×260107640240² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 260107640197 and 260107640206.

It is not an unprimeable number, because it can be changed into a prime (260107640249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7474220 + ... + 7508939.

It is an arithmetic number, because the mean of its divisors is an integer number (8917976832).

Almost surely, 2^260107640240 is an apocalyptic number.

260107640240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

260107640240 is an abundant number, since it is smaller than the sum of its proper divisors (453330506320).

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

260107640240 is a wasteful number, since it uses less digits than its factorization.

260107640240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14983210 (or 14983204 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The spelling of 260107640240 in words is "two hundred sixty billion, one hundred seven million, six hundred forty thousand, two hundred forty".