2051858559744 has 1152 divisors, whose sum is σ = 7764819148800. Its totient is φ = 520934768640.

The previous prime is 2051858559743. The next prime is 2051858559791. The reversal of 2051858559744 is 4479558581502.

2051858559744 is a `hidden beast` number, since 2 + 0 + 5 + 1 + 8 + 5 + 8 + 559 + 74 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (2051858559743) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1120620909 + ... + 1120622739.

It is an arithmetic number, because the mean of its divisors is an integer number (6740294400).

Almost surely, 2^{2051858559744} is an apocalyptic number.

2051858559744 is a gapful number since it is divisible by the number (24) 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 2051858559744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3882409574400).

2051858559744 is an abundant number, since it is smaller than the sum of its proper divisors (5712960589056).

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

2051858559744 is a wasteful number, since it uses less digits than its factorization.

2051858559744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1958 (or 1938 counting only the distinct ones).

The product of its (nonzero) digits is 80640000, while the sum is 63.

The spelling of 2051858559744 in words is "two trillion, fifty-one billion, eight hundred fifty-eight million, five hundred fifty-nine thousand, seven hundred forty-four".