2054626560 has 720 divisors, whose sum is σ = 8903664000. Its totient is φ = 441925632.

The previous prime is 2054626531. The next prime is 2054626577. The reversal of 2054626560 is 656264502.

2054626560 is a `hidden beast` number, since 20 + 5 + 4 + 626 + 5 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13789366 + ... + 13789514.

It is an arithmetic number, because the mean of its divisors is an integer number (12366200).

Almost surely, 2^2054626560 is an apocalyptic number.

2054626560 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 2054626560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4451832000).

2054626560 is an abundant number, since it is smaller than the sum of its proper divisors (6849037440).

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

2054626560 is a wasteful number, since it uses less digits than its factorization.

2054626560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 2054626560 is about 45327.9887045521. The cubic root of 2054626560 is about 1271.2890295272.

The spelling of 2054626560 in words is "two billion, fifty-four million, six hundred twenty-six thousand, five hundred sixty".