2553242653440 has 1440 divisors, whose sum is σ = 10123679655936. Its totient is φ = 611582607360.

The previous prime is 2553242653439. The next prime is 2553242653459. The reversal of 2553242653440 is 443562423552.

2553242653440 is a `hidden beast` number, since 2 + 5 + 5 + 3 + 242 + 65 + 344 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 159 ways as a sum of consecutive naturals, for example, 4535066599 + ... + 4535067161.

Almost surely, 2^{2553242653440} is an apocalyptic number.

2553242653440 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 2553242653440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5061839827968).

2553242653440 is an abundant number, since it is smaller than the sum of its proper divisors (7570437002496).

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

2553242653440 is a wasteful number, since it uses less digits than its factorization.

2553242653440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 45.

The spelling of 2553242653440 in words is "two trillion, five hundred fifty-three billion, two hundred forty-two million, six hundred fifty-three thousand, four hundred forty".