2053431868320 has 960 divisors, whose sum is σ = 8399253139200. Its totient is φ = 462767800320.

The previous prime is 2053431868273. The next prime is 2053431868331. The reversal of 2053431868320 is 238681343502.

2053431868320 is a `hidden beast` number, since 2 + 0 + 5 + 3 + 4 + 318 + 6 + 8 + 320 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2778662511 + ... + 2778663249.

It is an arithmetic number, because the mean of its divisors is an integer number (8749222020).

Almost surely, 2^{2053431868320} is an apocalyptic number.

2053431868320 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 2053431868320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4199626569600).

2053431868320 is an abundant number, since it is smaller than the sum of its proper divisors (6345821270880).

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

2053431868320 is a wasteful number, since it uses less digits than its factorization.

2053431868320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1163 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 2053431868320 in words is "two trillion, fifty-three billion, four hundred thirty-one million, eight hundred sixty-eight thousand, three hundred twenty".