2253406564660 has 24 divisors (see below), whose sum is σ = 4732344204840. Its totient is φ = 901326355584.

The previous prime is 2253406564597. The next prime is 2253406564691. The reversal of 2253406564660 is 664656043522.

2253406564660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 493236526864 + 1760170037796 = 702308^2 + 1326714^2 .

It is a super-3 number, since 3×2253406564660³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1754619 + ... + 2754178.

It is an arithmetic number, because the mean of its divisors is an integer number (197181008535).

Almost surely, 2^{2253406564660} is an apocalyptic number.

2253406564660 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2253406564660 is an abundant number, since it is smaller than the sum of its proper divisors (2478937640180).

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

2253406564660 is a wasteful number, since it uses less digits than its factorization.

2253406564660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4533795 (or 4533793 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 49.

The spelling of 2253406564660 in words is "two trillion, two hundred fifty-three billion, four hundred six million, five hundred sixty-four thousand, six hundred sixty".