2626378560 has 448 divisors, whose sum is σ = 10155936000. Its totient is φ = 635019264.

The previous prime is 2626378529. The next prime is 2626378561. The reversal of 2626378560 is 658736262.

It is a happy number.

2626378560 is a `hidden beast` number, since 2 + 6 + 2 + 637 + 8 + 5 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2626378561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7525266 + ... + 7525614.

It is an arithmetic number, because the mean of its divisors is an integer number (22669500).

Almost surely, 2^2626378560 is an apocalyptic number.

2626378560 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 2626378560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5077968000).

2626378560 is an abundant number, since it is smaller than the sum of its proper divisors (7529557440).

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

2626378560 is a wasteful number, since it uses less digits than its factorization.

2626378560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 2626378560 is about 51248.2054319954. The cubic root of 2626378560 is about 1379.7035279945.

The spelling of 2626378560 in words is "two billion, six hundred twenty-six million, three hundred seventy-eight thousand, five hundred sixty".