2168852400 has 540 divisors, whose sum is σ = 8932594944. Its totient is φ = 484070400.

The previous prime is 2168852393. The next prime is 2168852417. The reversal of 2168852400 is 42588612.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 5662609 + ... + 5662991.

Almost surely, 2^2168852400 is an apocalyptic number.

2168852400 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 2168852400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4466297472).

2168852400 is an abundant number, since it is smaller than the sum of its proper divisors (6763742544).

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

2168852400 is a wasteful number, since it uses less digits than its factorization.

2168852400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 2168852400 is about 46570.9394365199. The cubic root of 2168852400 is about 1294.4243253573.

It can be divided in two parts, 21688 and 52400, that added together give a cube (74088 = 42³).

The spelling of 2168852400 in words is "two billion, one hundred sixty-eight million, eight hundred fifty-two thousand, four hundred".