2051762937840 has 960 divisors, whose sum is σ = 9433106242560. Its totient is φ = 401256529920.

The previous prime is 2051762937827. The next prime is 2051762937863. The reversal of 2051762937840 is 487392671502.

It is a happy number.

2051762937840 is a `hidden beast` number, since 2 + 0 + 5 + 1 + 7 + 629 + 3 + 7 + 8 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 25406646 + ... + 25487274.

It is an arithmetic number, because the mean of its divisors is an integer number (9826152336).

It is a 1-persistent number, because it is pandigital, but 2⋅2051762937840 = 4103525875680 is not.

Almost surely, 2^{2051762937840} is an apocalyptic number.

2051762937840 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 2051762937840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4716553121280).

2051762937840 is an abundant number, since it is smaller than the sum of its proper divisors (7381343304720).

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

2051762937840 is a wasteful number, since it uses less digits than its factorization.

2051762937840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80692 (or 80674 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 2051762937840 in words is "two trillion, fifty-one billion, seven hundred sixty-two million, nine hundred thirty-seven thousand, eight hundred forty".