2253968735360 has 128 divisors (see below), whose sum is σ = 5867580600000. Its totient is φ = 824682442752.

The previous prime is 2253968735279. The next prime is 2253968735363. The reversal of 2253968735360 is 635378693522.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 2253968735360.

It is not an unprimeable number, because it can be changed into a prime (2253968735363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2843210 + ... + 3548489.

Almost surely, 2^{2253968735360} is an apocalyptic number.

2253968735360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2253968735360 is an abundant number, since it is smaller than the sum of its proper divisors (3613611864640).

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

2253968735360 is a wasteful number, since it uses less digits than its factorization.

2253968735360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6391766 (or 6391754 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 59.

The spelling of 2253968735360 in words is "two trillion, two hundred fifty-three billion, nine hundred sixty-eight million, seven hundred thirty-five thousand, three hundred sixty".