2010405055200 has 288 divisors, whose sum is σ = 6648656958720. Its totient is φ = 527540428800.

The previous prime is 2010405055193. The next prime is 2010405055207. The reversal of 2010405055200 is 25505040102.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2010405055193) and next prime (2010405055207).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2010405055207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 162241005 + ... + 162253395.

It is an arithmetic number, because the mean of its divisors is an integer number (23085614440).

Almost surely, 2^{2010405055200} is an apocalyptic number.

2010405055200 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 2010405055200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3324328479360).

2010405055200 is an abundant number, since it is smaller than the sum of its proper divisors (4638251903520).

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

2010405055200 is a wasteful number, since it uses less digits than its factorization.

2010405055200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13490 (or 13477 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 24.

The spelling of 2010405055200 in words is "two trillion, ten billion, four hundred five million, fifty-five thousand, two hundred".