2051311288320 has 1260 divisors, whose sum is σ = 8598447843804. Its totient is φ = 468202291200.

The previous prime is 2051311288267. The next prime is 2051311288343. The reversal of 2051311288320 is 238821131502.

2051311288320 is a `hidden beast` number, since 2 + 0 + 51 + 3 + 1 + 1 + 288 + 320 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1292823576576 + 758487711744 = 1137024^2 + 870912^2 .

It is a tau number, because it is divible by the number of its divisors (1260).

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 83 ways as a sum of consecutive naturals, for example, 2926263970 + ... + 2926264670.

Almost surely, 2^{2051311288320} is an apocalyptic number.

2051311288320 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 2051311288320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4299223921902).

2051311288320 is an abundant number, since it is smaller than the sum of its proper divisors (6547136555484).

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

2051311288320 is an frugal number, since it uses more digits than its factorization.

2051311288320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 2051311288320 in words is "two trillion, fifty-one billion, three hundred eleven million, two hundred eighty-eight thousand, three hundred twenty".