2251755560 has 32 divisors (see below), whose sum is σ = 5094770400. Its totient is φ = 895667520.

The previous prime is 2251755533. The next prime is 2251755563. The reversal of 2251755560 is 655571522.

It is not an unprimeable number, because it can be changed into a prime (2251755563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 150086 + ... + 164405.

It is an arithmetic number, because the mean of its divisors is an integer number (159211575).

Almost surely, 2^2251755560 is an apocalyptic number.

2251755560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2251755560 is an abundant number, since it is smaller than the sum of its proper divisors (2843014840).

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

2251755560 is a wasteful number, since it uses less digits than its factorization.

2251755560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314681 (or 314677 counting only the distinct ones).

The product of its (nonzero) digits is 105000, while the sum is 38.

The square root of 2251755560 is about 47452.6665214928. Note that the first 3 decimals coincide. The cubic root of 2251755560 is about 1310.7114135987.

The spelling of 2251755560 in words is "two billion, two hundred fifty-one million, seven hundred fifty-five thousand, five hundred sixty".