2010523323144 has 512 divisors, whose sum is σ = 6444748800000. Its totient is φ = 509194211328.

The previous prime is 2010523323101. The next prime is 2010523323157. The reversal of 2010523323144 is 4413233250102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2720599527 + ... + 2720600265.

It is an arithmetic number, because the mean of its divisors is an integer number (12587400000).

Almost surely, 2^{2010523323144} is an apocalyptic number.

2010523323144 is a gapful number since it is divisible by the number (24) 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 2010523323144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3222374400000).

2010523323144 is an abundant number, since it is smaller than the sum of its proper divisors (4434225476856).

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

2010523323144 is a wasteful number, since it uses less digits than its factorization.

2010523323144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1377 (or 1373 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 2010523323144 its reverse (4413233250102), we get a palindrome (6423756573246).

The spelling of 2010523323144 in words is "two trillion, ten billion, five hundred twenty-three million, three hundred twenty-three thousand, one hundred forty-four".