2051301795840 has 576 divisors, whose sum is σ = 8212046431680. Its totient is φ = 468029276160.

The previous prime is 2051301795827. The next prime is 2051301795841. The reversal of 2051301795840 is 485971031502.

2051301795840 is a `hidden beast` number, since 2 + 0 + 51 + 3 + 0 + 17 + 9 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is not an unprimeable number, because it can be changed into a prime (2051301795841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17174407 + ... + 17293433.

It is an arithmetic number, because the mean of its divisors is an integer number (14257025055).

Almost surely, 2^{2051301795840} is an apocalyptic number.

2051301795840 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 2051301795840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4106023215840).

2051301795840 is an abundant number, since it is smaller than the sum of its proper divisors (6160744635840).

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

2051301795840 is a wasteful number, since it uses less digits than its factorization.

2051301795840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119088 (or 119065 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 2051301795840 in words is "two trillion, fifty-one billion, three hundred one million, seven hundred ninety-five thousand, eight hundred forty".