2010322414400 has 42 divisors (see below), whose sum is σ = 4946649594870. Its totient is φ = 804128965120.

The previous prime is 2010322414361. The next prime is 2010322414439. The reversal of 2010322414400 is 44142230102.

It is an interprime number because it is at equal distance from previous prime (2010322414361) and next prime (2010322414439).

It can be written as a sum of positive squares in 3 ways, for example, as 129386967616 + 1880935446784 = 359704^2 + 1371472^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 628224155 + ... + 628227354.

Almost surely, 2^{2010322414400} is an apocalyptic number.

2010322414400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2010322414400 is an abundant number, since it is smaller than the sum of its proper divisors (2936327180470).

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

2010322414400 is a wasteful number, since it uses less digits than its factorization.

2010322414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1256451531 (or 1256451516 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 2010322414400 its reverse (44142230102), we get a palindrome (2054464644502).

The spelling of 2010322414400 in words is "two trillion, ten billion, three hundred twenty-two million, four hundred fourteen thousand, four hundred".