2051145711360 has 1440 divisors, whose sum is σ = 8538969922560. Its totient is φ = 466323111936.

The previous prime is 2051145711299. The next prime is 2051145711389. The reversal of 2051145711360 is 631175411502.

2051145711360 is a `hidden beast` number, since 2 + 0 + 5 + 1 + 14 + 571 + 13 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 770237389 + ... + 770240051.

It is an arithmetic number, because the mean of its divisors is an integer number (5929840224).

Almost surely, 2^{2051145711360} is an apocalyptic number.

2051145711360 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 2051145711360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4269484961280).

2051145711360 is an abundant number, since it is smaller than the sum of its proper divisors (6487824211200).

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

2051145711360 is a wasteful number, since it uses less digits than its factorization.

2051145711360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2755 (or 2732 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 2051145711360 in words is "two trillion, fifty-one billion, one hundred forty-five million, seven hundred eleven thousand, three hundred sixty".