2645053600320 has 336 divisors, whose sum is σ = 9438855229440. Its totient is φ = 705047556096.

The previous prime is 2645053600307. The next prime is 2645053600337. The reversal of 2645053600320 is 230063505462.

2645053600320 is a `hidden beast` number, since 2 + 6 + 45 + 0 + 5 + 3 + 600 + 3 + 2 + 0 = 666.

It is a super-3 number, since 3×2645053600320³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 229619521 + ... + 229631039.

It is an arithmetic number, because the mean of its divisors is an integer number (28091831040).

Almost surely, 2^{2645053600320} is an apocalyptic number.

2645053600320 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 2645053600320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4719427614720).

2645053600320 is an abundant number, since it is smaller than the sum of its proper divisors (6793801629120).

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

2645053600320 is a wasteful number, since it uses less digits than its factorization.

2645053600320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14504 (or 14482 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 2645053600320 in words is "two trillion, six hundred forty-five billion, fifty-three million, six hundred thousand, three hundred twenty".