2052619228800 has 384 divisors, whose sum is σ = 8585163907200. Its totient is φ = 469169971200.

The previous prime is 2052619228763. The next prime is 2052619228811. The reversal of 2052619228800 is 88229162502.

2052619228800 is a `hidden beast` number, since 2 + 0 + 5 + 2 + 619 + 2 + 28 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1092141 + ... + 2301740.

It is an arithmetic number, because the mean of its divisors is an integer number (22357197675).

Almost surely, 2^{2052619228800} is an apocalyptic number.

2052619228800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2052619228800 is an abundant number, since it is smaller than the sum of its proper divisors (6532544678400).

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

2052619228800 is a wasteful number, since it uses less digits than its factorization.

2052619228800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3393921 (or 3393898 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 2052619228800 in words is "two trillion, fifty-two billion, six hundred nineteen million, two hundred twenty-eight thousand, eight hundred".