2010225188400 has 720 divisors, whose sum is σ = 7622943528960. Its totient is φ = 448884633600.

The previous prime is 2010225188371. The next prime is 2010225188401. The reversal of 2010225188400 is 48815220102.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (2010225188401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1849332657 + ... + 1849333743.

It is an arithmetic number, because the mean of its divisors is an integer number (10587421568).

Almost surely, 2^{2010225188400} is an apocalyptic number.

2010225188400 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 2010225188400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3811471764480).

2010225188400 is an abundant number, since it is smaller than the sum of its proper divisors (5612718340560).

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

2010225188400 is a wasteful number, since it uses less digits than its factorization.

2010225188400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1974 (or 1950 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 33.

The spelling of 2010225188400 in words is "two trillion, ten billion, two hundred twenty-five million, one hundred eighty-eight thousand, four hundred".