2646794880 has 512 divisors, whose sum is σ = 9956505600. Its totient is φ = 671846400.

The previous prime is 2646794873. The next prime is 2646794903. The reversal of 2646794880 is 884976462.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 43390050 + ... + 43390110.

It is an arithmetic number, because the mean of its divisors is an integer number (19446300).

Almost surely, 2^2646794880 is an apocalyptic number.

2646794880 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 2646794880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4978252800).

2646794880 is an abundant number, since it is smaller than the sum of its proper divisors (7309710720).

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

2646794880 is an frugal number, since it uses more digits than its factorization.

2646794880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The square root of 2646794880 is about 51447.0104087691. The cubic root of 2646794880 is about 1383.2693750207.

The spelling of 2646794880 in words is "two billion, six hundred forty-six million, seven hundred ninety-four thousand, eight hundred eighty".