2055972784320 has 1792 divisors, whose sum is σ = 9359710617600. Its totient is φ = 413200465920.

The previous prime is 2055972784291. The next prime is 2055972784339. The reversal of 2055972784320 is 234872795502.

2055972784320 is a `hidden beast` number, since 2 + 0 + 5 + 597 + 2 + 7 + 8 + 43 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1633019851 + ... + 1633021109.

It is an arithmetic number, because the mean of its divisors is an integer number (5223052800).

Almost surely, 2^{2055972784320} is an apocalyptic number.

2055972784320 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 2055972784320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4679855308800).

2055972784320 is an abundant number, since it is smaller than the sum of its proper divisors (7303737833280).

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

2055972784320 is a wasteful number, since it uses less digits than its factorization.

2055972784320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1403 (or 1387 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 2055972784320 in words is "two trillion, fifty-five billion, nine hundred seventy-two million, seven hundred eighty-four thousand, three hundred twenty".