2010741144 has 64 divisors (see below), whose sum is σ = 5262416640. Its totient is φ = 639027840.

The previous prime is 2010741137. The next prime is 2010741149. The reversal of 2010741144 is 4411470102.

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 (2010741149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169239 + ... + 180729.

It is an arithmetic number, because the mean of its divisors is an integer number (82225260).

Almost surely, 2^2010741144 is an apocalyptic number.

2010741144 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 2010741144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2631208320).

2010741144 is an abundant number, since it is smaller than the sum of its proper divisors (3251675496).

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

2010741144 is a wasteful number, since it uses less digits than its factorization.

2010741144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11840 (or 11836 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 2010741144 is about 44841.2883847019. The cubic root of 2010741144 is about 1262.1725230304.

The spelling of 2010741144 in words is "two billion, ten million, seven hundred forty-one thousand, one hundred forty-four".