2626778880 has 432 divisors, whose sum is σ = 10445984640. Its totient is φ = 602726400.

The previous prime is 2626778873. The next prime is 2626778887. The reversal of 2626778880 is 888776262.

2626778880 is a `hidden beast` number, since 2 + 626 + 7 + 7 + 8 + 8 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2626778873) and next prime (2626778887).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2626778887) 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 47 ways as a sum of consecutive naturals, for example, 2407135 + ... + 2408225.

It is an arithmetic number, because the mean of its divisors is an integer number (24180520).

Almost surely, 2^2626778880 is an apocalyptic number.

2626778880 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 2626778880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5222992320).

2626778880 is an abundant number, since it is smaller than the sum of its proper divisors (7819205760).

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

2626778880 is a wasteful number, since it uses less digits than its factorization.

2626778880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148 (or 1131 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The square root of 2626778880 is about 51252.1109809147. The cubic root of 2626778880 is about 1379.7736238627.

The spelling of 2626778880 in words is "two billion, six hundred twenty-six million, seven hundred seventy-eight thousand, eight hundred eighty".