2052253296720 has 960 divisors, whose sum is σ = 8367407308800. Its totient is φ = 458215464960.

The previous prime is 2052253296713. The next prime is 2052253296721. The reversal of 2052253296720 is 276923522502.

2052253296720 is a `hidden beast` number, since 2 + 0 + 5 + 2 + 2 + 532 + 96 + 7 + 20 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2052253296721) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 322728901 + ... + 322735259.

It is an arithmetic number, because the mean of its divisors is an integer number (8716049280).

Almost surely, 2^{2052253296720} is an apocalyptic number.

2052253296720 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 2052253296720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4183703654400).

2052253296720 is an abundant number, since it is smaller than the sum of its proper divisors (6315154012080).

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

2052253296720 is a wasteful number, since it uses less digits than its factorization.

2052253296720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6473 (or 6444 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 2052253296720 in words is "two trillion, fifty-two billion, two hundred fifty-three million, two hundred ninety-six thousand, seven hundred twenty".