2654786560 has 176 divisors, whose sum is σ = 6614593920. Its totient is φ = 1021870080.

The previous prime is 2654786543. The next prime is 2654786567. The reversal of 2654786560 is 656874562.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2654786567) 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, 24355786 + ... + 24355894.

It is an arithmetic number, because the mean of its divisors is an integer number (37582920).

Almost surely, 2^2654786560 is an apocalyptic number.

2654786560 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 2654786560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3307296960).

2654786560 is an abundant number, since it is smaller than the sum of its proper divisors (3959807360).

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

2654786560 is a wasteful number, since it uses less digits than its factorization.

2654786560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 49.

The square root of 2654786560 is about 51524.6209107840. The cubic root of 2654786560 is about 1384.6601815453.

The spelling of 2654786560 in words is "two billion, six hundred fifty-four million, seven hundred eighty-six thousand, five hundred sixty".