2601378560 has 144 divisors (see below), whose sum is σ = 6943974912. Its totient is φ = 925593600.

The previous prime is 2601378551. The next prime is 2601378569. The reversal of 2601378560 is 658731062.

It is an interprime number because it is at equal distance from previous prime (2601378551) and next prime (2601378569).

It is not an unprimeable number, because it can be changed into a prime (2601378569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 659795 + ... + 663725.

It is an arithmetic number, because the mean of its divisors is an integer number (48222048).

Almost surely, 2^2601378560 is an apocalyptic number.

2601378560 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 2601378560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3471987456).

2601378560 is an abundant number, since it is smaller than the sum of its proper divisors (4342596352).

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

2601378560 is a wasteful number, since it uses less digits than its factorization.

2601378560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4010 (or 3996 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 38.

The square root of 2601378560 is about 51003.7112375168. The cubic root of 2601378560 is about 1375.3118516905.

The spelling of 2601378560 in words is "two billion, six hundred one million, three hundred seventy-eight thousand, five hundred sixty".