2801644560 has 240 divisors, whose sum is σ = 11054167488. Its totient is φ = 626918400.

The previous prime is 2801644553. The next prime is 2801644577. The reversal of 2801644560 is 654461082.

2801644560 is a `hidden beast` number, since 2 + 8 + 0 + 1 + 644 + 5 + 6 + 0 = 666.

2801644560 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 89355 + ... + 116565.

Almost surely, 2^2801644560 is an apocalyptic number.

2801644560 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 2801644560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5527083744).

2801644560 is an abundant number, since it is smaller than the sum of its proper divisors (8252522928).

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

2801644560 is a wasteful number, since it uses less digits than its factorization.

2801644560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27254 (or 27245 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2801644560 is about 52930.5635715321. The cubic root of 2801644560 is about 1409.7356377772.

The spelling of 2801644560 in words is "two billion, eight hundred one million, six hundred forty-four thousand, five hundred sixty".