2185775010400 has 36 divisors (see below), whose sum is σ = 5336023246092. Its totient is φ = 874310003840.

The previous prime is 2185775010371. The next prime is 2185775010401. The reversal of 2185775010400 is 40105775812.

It is a super-2 number, since 2×2185775010400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2185775010401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1366108582 + ... + 1366110181.

It is an arithmetic number, because the mean of its divisors is an integer number (148222867947).

Almost surely, 2^{2185775010400} is an apocalyptic number.

2185775010400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2185775010400 is an abundant number, since it is smaller than the sum of its proper divisors (3150248235692).

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

2185775010400 is a wasteful number, since it uses less digits than its factorization.

2185775010400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2732218783 (or 2732218770 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 40.

The spelling of 2185775010400 in words is "two trillion, one hundred eighty-five billion, seven hundred seventy-five million, ten thousand, four hundred".