2253349560000 has 1680 divisors, whose sum is σ = 9730901714688. Its totient is φ = 446899200000.

The previous prime is 2253349559999. The next prime is 2253349560041. The reversal of 2253349560000 is 659433522.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 4887959770 + ... + 4887960230.

Almost surely, 2^{2253349560000} is an apocalyptic number.

2253349560000 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 2253349560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4865450857344).

2253349560000 is an abundant number, since it is smaller than the sum of its proper divisors (7477552154688).

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

2253349560000 is a wasteful number, since it uses less digits than its factorization.

2253349560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 39.

The spelling of 2253349560000 in words is "two trillion, two hundred fifty-three billion, three hundred forty-nine million, five hundred sixty thousand".