2653284352320 has 336 divisors, whose sum is σ = 10651851744768. Its totient is φ = 593561272320.

The previous prime is 2653284352319. The next prime is 2653284352339. The reversal of 2653284352320 is 232534823562.

2653284352320 is a `hidden beast` number, since 2 + 6 + 532 + 8 + 43 + 52 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 452601 + ... + 2347640.

Almost surely, 2^{2653284352320} is an apocalyptic number.

2653284352320 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 2653284352320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5325925872384).

2653284352320 is an abundant number, since it is smaller than the sum of its proper divisors (7998567392448).

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

2653284352320 is a wasteful number, since it uses less digits than its factorization.

2653284352320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2800318 (or 2800305 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 45.

The spelling of 2653284352320 in words is "two trillion, six hundred fifty-three billion, two hundred eighty-four million, three hundred fifty-two thousand, three hundred twenty".