2052400791168 has 1536 divisors, whose sum is σ = 8273603520000. Its totient is φ = 482248359936.

The previous prime is 2052400791167. The next prime is 2052400791169. The reversal of 2052400791168 is 8611970042502.

2052400791168 is a `hidden beast` number, since 2 + 0 + 524 + 0 + 0 + 7 + 9 + 116 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (2052400791167) and next prime (2052400791169).

It is not an unprimeable number, because it can be changed into a prime (2052400791167) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1659175446 + ... + 1659176682.

It is an arithmetic number, because the mean of its divisors is an integer number (5386460625).

Almost surely, 2^{2052400791168} is an apocalyptic number.

2052400791168 is a gapful number since it is divisible by the number (28) 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 2052400791168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4136801760000).

2052400791168 is an abundant number, since it is smaller than the sum of its proper divisors (6221202728832).

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

2052400791168 is a wasteful number, since it uses less digits than its factorization.

2052400791168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1327 (or 1298 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 2052400791168 in words is "two trillion, fifty-two billion, four hundred million, seven hundred ninety-one thousand, one hundred sixty-eight".