2052886780224 has 336 divisors, whose sum is σ = 7082591270400. Its totient is φ = 581345759232.

The previous prime is 2052886780211. The next prime is 2052886780271. The reversal of 2052886780224 is 4220876882502.

2052886780224 is a `hidden beast` number, since 2 + 0 + 5 + 288 + 67 + 80 + 224 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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 47 ways as a sum of consecutive naturals, for example, 9460657 + ... + 9675215.

Almost surely, 2^{2052886780224} is an apocalyptic number.

2052886780224 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 2052886780224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3541295635200).

2052886780224 is an abundant number, since it is smaller than the sum of its proper divisors (5029704490176).

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

2052886780224 is a wasteful number, since it uses less digits than its factorization.

2052886780224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214707 (or 214684 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 54.

The spelling of 2052886780224 in words is "two trillion, fifty-two billion, eight hundred eighty-six million, seven hundred eighty thousand, two hundred twenty-four".